Answered: the radius of a sphere was measured to…

the radius of a sphere was measured to be 23 cm with at most possible error of 0.5 cm use differential to estimate the maximum error, relative error and percentage error in the calculated volume.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

See similar textbooks

Related questions

Q: The circumference of a sphere was measured to be 77 cm with a possible error of 0.5 cm. Use linear…

Q: The length, width, and height of a rectangular box are measured with an error of at most 5%. Use a…

A: Differentiate diagonal and use error

Q: The circumference of a sphere was measured to be 8383 cm with a possible error of 0.50.5 cm. Use…

A: The circumference is, C=83 cm Then, radius is, r=832π Consider the error is 0.5 cm. The surface…

Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…

A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: A tin can has a circular base of radius 2 inches and height of 6 inches. If the thickness of its…

A: We have to find the volume of tin can using differentials.

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A: One side of the right triangle is measured as 9.5 inches and opposite angle is equal to 26.75° with…

Q: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters, and 60…

A: Given: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters and…

Q: The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch.…

A: Let ‘x’ be the edge of cube. Then

Q: The circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. Use linear…

A: Given: Circumference of the sphere is measured to be 80cm. Possible error 0.5 cm. Formula used:…

Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…

A: Let the volume of the rod be V Radius of the rod be R and length be L Given: L=20cm; R=3 cm…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

Q: the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the…

A: The circumference of a sphere with radius r is given as C = 2 π r and the surface area is given by…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°,…

Q: The side of an equilateral triangle was measured to be 233 cm with at most possible error of 0.5 cm.…

Q: The measurement of a side of a square is found to be 5 centimeters, with a possible error of 0.02…

Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use linear…

Q: A boundary stripe 3 in. wide is painted around a rectangle whose dimensions are 100 ft by 260 ft.…

A: Please see the explanation below

Q: ! The circumference of a sphere was measured to be 80.000 cm with a possible error of 0.50000 cm.…

A: Area of Sphere = 4πr2 circumference of sphere= 2πr r = radius of sphere

Q: 5. Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick.…

Q: The circumference of a sphere was measured to be 88 cm with a possible error of 0.5 cm. Use linear…

A: Solution :-

Q: The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear…

A: The circumference of a sphere is: The surface area of a sphere is: Where r is the radius of the…

Q: The measurement of a side of a square is found to be 6 centimeters, with a possible error of 0.05…

Q: The circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm. Use linear…

A: Given that the circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm .

Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: The radius of a circular disk is given as 24 cm with a maxi -mum error in measurement of 0.2 cm.(a)…

A: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. Let…

Q: The circumference of a sphere was measured to be 85 cm with a possible error of 0.5 cm. Use linear…

A: Given measured circumference was 85 with a possible error of 0.5cm and we have to calculate maximum…

Q: Villa Escudero is about 1,500 hectares. Currently, it is occupied by 15000 persons generates refuse…

Q: The circumference of a sphere was measured to be 81 cm with a possible error of 0.5 cm. Use linear…

Q: The circumference of a sphere was measured to be 70 cm with a possible error of 0.5 cm. Use linear…

A: Solution is in step 2

Q: A coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 30…

A: Given that a coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of…

Q: A circle has a radius of 5 cm, if the radius is increased by 0.1 mm., what is the estimated increase…

A: Let's find.

Q: The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear…

A: We have to find the maximum error and relative error.

Q: A hemispherical dome with a diameter of 60 meters has to receive a coat of 5 cm of paint. Use…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

Q: The circumference of a sphere was measured to be 90.000cm with a possible error of 0.500000 cm. Use…

Q: he measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch.…

A: Given edge a =15±0.03 inch

Q: The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. Use linear…

A: Given: The circumference of sphere is 90 cm with a possible error of 0.5 cm That is :…

Q: the radius of a circular manhole cover is estimated to be 16 inch with a maximum error in…

A: The radius of the circular cover is given as, r=16 inch The error in the radius is given as, ∆r=0.06…

Q: The two legs of a right triangle are measured as 5 m and 12 m with a possible error in measurement…

Q: ; The circumference of a sphere was measured to be 77.000 cm with a possible error of 0.50000 cm.…

Q: The circumference of a sphere was measured to be 73 cm with a possible error of 0.5 cm. Use linear…

A: Here we will find the maximum error and relative error,

Q: The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32 inch.…

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use…

Q: The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. Use linear…

Q: The circumference of a sphere was measured to be 89 cm with a possible error of 0.5 cm. Use linear…

A: Circumference of Sphere =89 cm Error = 0.5 cm…

Q: The possible error involved in measuring each dimension of a right circular cylinder is ±0.05…

A: r=3 cmh=10 cm Error involved in measuring each dimension of a right circular cylinder is ±0.05 cm.…

Q: The circumference of a sphere was measured to be 77.000 cm with a possible error of 0.50000 cm. Use…

A: Circumference = 77.00 radius r = 77/2π ± 0.5 cm Now, 0.5cm = (0.5/77)*100% = 0.65% r = (77/2π) ±…

Q: The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear…

A: Given the circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm.

Question

the radius of a sphere was measured to be 23 cm with at most possible error of 0.5 cm use differential to estimate the maximum error, relative error and percentage error in the calculated volume.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the volume of a steel shaft that is 18.64 cm long and has a radius of 1.75 cm. Round your answer to 2 decimal places.
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and disregard the thickness b If the trough is to be painted inside and out, find the number of square feet to be painted Use 3.14.
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?