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The radius and height of a cone are 4 cm and 3 cm, respectively. Find the volume of the cone.
Question

The radius and height of a cone are 4 cm and 3 cm, respectively. Find the volume of the cone.

A.

12πcm312\pi cm^3​​

B.

16πcm316\pi cm^3​​

C.

4πcm34\pi cm^3​​

D.

48πcm348\pi cm^3​​

Correct option is B

Given:

Radius of cone = 4cm

Height of cone = 3cm

Formula Used:

Volume of cone = 13×π×r2×h\frac{1}{3}\times\pi \times r^{2}\times h​​

Solution:

Radius of cone = 4cm

Volume of cone = 13×π×r2×h\frac{1}{3}\times\pi \times r^{2}\times h​​

=13×π×42×3= \frac{1}{3}\times\pi \times 4^{2}\times 3​​

=13×π×42×3= \frac{1}{3}\times\pi \times 4^{2}\times 3​​

=16π cm2= 16 \pi \ cm^2​​

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