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A toy is made from a cylinder with two identical hemispheres attached to the sides. The cylinder has radius r cm and height 36r cm. Below is the cross sectional view of the toy: r cm 36r cm The sum of volumes of the two hemispheres is equal to the volume of the cylinder. Show that the radius of the hemisphere is 3 times the radius of the cylinder. Hence, in terms of r and t, find the total surface area of the toy.

A toy is made from a cylinder with two identical hemispheres attached to the sides. The cylinder has radius r cm and height 36r cm. Below is the cross sectional view of the toy: r cm 36r cm The sum of volumes of the two hemispheres is equal to the volume of the cylinder. Show that the radius of the hemisphere is 3 times the radius of the cylinder. Hence, in terms of r and t, find the total surface area of the toy.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A toy is made from a cylinder with two identical hemispheres attached to the sides. The cylinder has radius r cm and height 36r cm. Below is the cross sectional view of the toy: r cm 36r cm The sum of volumes of the two hemispheres is equal to the volume of the cylinder. Show that the radius of the hemisphere is 3 times the radius of the cylinder. Hence, in terms of r and a, find the total surface area of the toy.
Transcribed Image Text:A toy is made from a cylinder with two identical hemispheres attached to the sides. The cylinder has radius r cm and height 36r cm. Below is the cross sectional view of the toy: r cm 36r cm The sum of volumes of the two hemispheres is equal to the volume of the cylinder. Show that the radius of the hemisphere is 3 times the radius of the cylinder. Hence, in terms of r and a, find the total surface area of the toy.
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