Question

# The volume of a cylinder is 231 cm3 and its height is 6 cm. A ball will fit inside the cylinder if its radius is ______.

A

3 cm

B

cm

C

2.5 cm

D

cm

Solution

## The correct options are A 3 cm C 2.5 cm Volume of cylinder =π×r2×h ⇒231=227×r2×6 ⇒r2=231×722×16 ⇒r2=12.25 ⇒r=3.5 So, a ball will fit inside the cylinder if its radius is less than or equal to 3.5 cm.

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