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

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.