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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter84: Binary Numeration System
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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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