Question : A toy is in the shape of a cylinder surmounted by a hemisphere. The total height of the toy is 15 cm and the radius of the hemisphere is 6 cm. What is the volume of the toy?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Given: Total height of the toy = 15 cm
The radius of the hemisphere (which is also the radius of the base of the cylinder) = 6 cm
Height of the cylinder = total height – radius of hemisphere
= 15 cm – 6 cm
= 9 cm
Now, the volume of the cylinder and the hemisphere:
Volume of the cylinder =
Volume of the hemisphere =
The total volume of the toy =
=
Hence, the correct answer is