Question

What is the diameter of a 10 inch long cylindrical bottle with a volume of 196.25 cubic inches?

• A. 4
• B. 5
• C. 6
• D. 7

Answer 1

The correct option is B 5

Volume of a cylinder =$\pi r^{2}h$
= 196.25 cubic inches

$\therefore$ 3.14 x $r^2$ x 10 = 196.25 cubic inches
$(\because$ height = 10 inch)

= 196.25 / 3.14 x 10

= 196.25 / 31.4

$\therefore$ $r^2$ = 6.25

$r$ = 2.5

Diameter of the cylinder,
d = 2r = 2.5 x 2 = 5 inches