Question

A cone has slanted height of 5cm and height of 4cm, its volume (in cm³) is __________

• A. 38.17
• B. 38.71
• C. 37.17
• D. 37.71

Answer 1

The correct option is D 37.71


According to Pythagoras theorem,
r² + h² = l²
$r=\sqrt{l^2-h^2}r=\sqrt{5^2-4^2}r=\sqrt{25-16}r=\sqrt{9}$
r = 3cm
We know that volume of a cone =
$\frac{1}{3}$πr²h
= $\frac{1}{3}\times \frac{22}{7}\times 3\times 3\times 4=37.71$
Therefore, option d is correct.