The material of a solid right circular cylinder is converted into the shape of a solid cone of equal radius. If the height of the cylinder is 8.8 cm, then the height of the cone is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 26.4 cm.
We know that,
when a 3-D shape is converted or molded into another 3-D shape then, its volume will be equal
The volume of the cylinder = The volume of the cone
πr12h = 1/3 πr22h
here, r1 and h1 are the radius and height of the cylinder and r2 and h2 are the radius and height of the cone
r12h1 = 1/3r22h2 [r1 = r2]
h1 = 1/3h2
8.8 = 1/3h2
h2 = 8.8 × 3 = 26.4 cm