A water tank is in the shape of a cone with a radius of 5 m and a height of 12 m. How much water can the tank hold when full? (Use π ≈ 3.14).

Correct option is D

Given:

Radius of the cone (r) = 5 m

Height of the cone (h) = 12 m

π ≈ 3.14

Formula Used:

Volume of a cone =$$\frac{1}{3} \times \pi \times r^2 \times h$$​​

Solution:

Volume =$$\dfrac{1}{3} \times 3.14 \times (5)^2 \times 12$$​

​$$= \dfrac{1}{3} \times 3.14 \times 25 \times 12$$​

​$$= \dfrac{1}{3} \times 3.14 \times 300$$​

=$$\dfrac{1}{3} \times 942 = 314 \, \text{m}^3$$​

The water tank can hold 314 cubic meters of water when full.