A4: A spherical sector of base depth h has been cut from a sphere of radius r. Its volumeV is given by the formula V = ar²h. Rearrange this relationship to give a formula forcalculating the radius of the original sphere from measurement of the other quantities.

We will rearrange the given formula to find the radius of the original spare

A4: A spherical sector of base depth h has been cut from a sphere of radius r. Its volume V is given by the formula V =ar?h. Rearrange this relationship to give a formula for calculating the radius of the original sphere from measurement of the other quantities.

A4: A spherical sector of base depth h has been cut from a sphere of radius r. Its volume V is given by the formula V =ar?h. Rearrange this relationship to give a formula for calculating the radius of the original sphere from measurement of the other quantities.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 67AR

See similar textbooks

Related questions

Q: 4) d=7 ft V 2 ft LA SA =

Q: Find the lateral area, surface area, and volume

A: From the image we see that the base is a octagon with side length=a=10 mmSo, P=perimeter of the…

Q: The measurements of a tree decoration are shown in the following image. 5x cm 13 cm j 1.5x cm The…

A: Question explained below :Explanation:ANSWER :

Q: The side of a coffee cup given by y = 2x. The base has a radius of 10cm and the top a radius of…

A: Here we have given a coffee cup with base radius of and top radius of and side is given by .Let,…

Q: Twenty horizontal feet north of a hB = 45-foot building is a hW = 20-foot wall (see the figure…

Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

Q: The post of a street light is shaped like a truncated cone, as shown in the picture below. It is a…

A: Height of large cone= 21 feetradius of large cone = 1 footheight of small cone = 7 feetradius of…

Q: 2Ys cm 3s cm bcm

A: The given diagram is cube and we have to find the volume of cube. Length, height and width of the…

Q: The cost of painting the total outsides surface of a local closed cylindrical oil tank. at 60 paise…

Q: Solve for the areas listed below. 6ft 7ft 12ft 3ft 7ft 10ft Trapezoid Area = ft Rectangle Area =…

Q: 22 cubic dm ofbrass is to be drawn into a cylindrical wire 0.50 cm in diameter Find the leng th…

Q: 10ft 6ft 6ft 2ft 2ft 10ft Lateral Surface Area = ft2 Total Surface Area = fe

Q: Find the total area between r= 4sin(θ) and r=7sin(4θ).

A: To find: The total area between r= 4sin(θ) and r=7sin(4θ). Concept used: Total area between the…

Q: 2. Find the area of limacons r = 4 + 2sine

A: Find the area using integral

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A4: A spherical sector of base depth h has been cut from a sphere of radius r. Its volume
V is given by the formula V = ar²h. Rearrange this relationship to give a formula for
calculating the radius of the original sphere from measurement of the other quantities.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of a diagonal AB from the upper left rear vertex to the lower right front vertex. Round the answer to 1 decimal place.
A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.
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.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
The volume V of a cone with height h and diameter d is given by V=0.2618d2h . What is the volume of a cone with diameter 72.4 cm and height 122.5 cm? Round the answer to 2 decimal places.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the base diameter of a right circular cone that has a volume of 922.4 cubic centimeters and a height of 14.85 centimeters.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid brass casting in the shape of a right circular cone has a base diameter of 4.36 inches and a height of 3.94 inches. Find the weight of the casting. Brass weighs 0.302 pound per cubic inch.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a prism that is 13.82 centimeters high and has an equilateral triangle base that has 9.08 centimeter sides. Round the answer to the nearest cubic centimeter.