(i) Findthe percentage error in the area of an ellipse when an error of +2% is made in measuring the major and minor axes.(ii) The radius ofa sphere is found to be 10 cms with possible error of 0.02 cm. What is the relative error in computing the volume

Q: A concave mirror of focal length 10 cm forms an upright and diminished image of a real object placed…

A: We need to determine if the statement is correct or not.

Q: IV. The dimensions of a closed rectangular box are measured as 10cm, 11cm, and 18 cm with a possible…

A: Closed rectangular box has dimension 10cm , 11 cm ,18 cm. Let , L=10cm , B=11cm , H=18cm…

Q: When a spherical mint is sucked, a simple model gives the rate of decrease of its radius as…

A: Given the problem, we need to find the radius of a spherical mint at a certain time and determine…

Q: a parabolic arch of maximum height 40 m is 30 m wide at ground level. A horizontal beam of length 12…

A: The objective of the question is to find the height of the beam above the ground when it is placed…

Q: Given the edge of a square is about 100 cm, by how to measure it such that the

A:

Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A:

Q: 6. A soccer ball is kicked at an angle of 60 from the ground. If the velocity of the ball is 110…

A: Consider the given angle as 60°

Q: When a spherical mint is sucked, a simple model gives the rate of decrease of its radius as…

A: Step 1:Step 2: Step 3: Step 4:

Q: A circular swimming pool with a diameter of 20 meters has a plane floor that is horizontal going…

A: The swimming pool has a diameter of 20 meters. Thus, the radius of the swimming pool is 20/2 meters,…

Q: The equation of a curved road is given as y = 100+6x–0.015x² +0.0000111? Determine the places where…

A: The equation of the curved road given is: y=100+6x-0.015x2+0.00001111x3 Measure of the "Sharpness of…

Q: The trough shown below has a length of 5.1 m. All cross-sections parallel to the vertical ends are…

A: The solution is given by

Q: dish whose shape will be formed by A group of engineers is building a parabolic sa rotating the…

A: Formula: The surface area obtained by rotating the curve y=f(x), a≤x≤b,  about the y−axis is given…

Q: What is the equation of the circle that has radius of 8 and centre at(-3, 4)? A. (x +3)2 + (y – 4)?…

A:

Q: A high-walled arena has a radius of 20 meters. Point O being the center, point A is along the…

A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

Q: What is the length of the diameter for the crcle with standard equation (x- 7) + (y- 2) = 225?

A: Standard equation of circle is given by (x-a)2 + (y-b)2 = r2 where (a,b) is the center of circle and…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.