# A cone has slanted height of 5cm and height of 4cm, its volume

A cone has slanted height of 5cm and height of 4cm, its volume (in cm^3) is __________
A. 38.71
B. 36.50
C. 37.00
D. 37.71
Correct answer is D. 37.71

From the figure shown below,
According to Pythagoras theorem, r^2 + h^2 = l^2
r = $$\sqrt{l^2-h^2}$$
= $$\sqrt{5^2-4^2}$$
= 3cm

We know that volume of a cone = $$\frac{1}{3}$$ πr^2h
= $$\frac{1}{3} * \frac{22}{7}$$ * 3 * 3 * 4
= 37.71.