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Find the volume of cone which has base radius as 7 cm and height as 12 cm. (The value of π is 227\frac {22}7722​​)
Question

Find the volume of cone which has base radius as 7 cm and height as 12 cm. (The value of π is 227\frac {22}7​)

A.

576 cm³

B.

616 cm³

C.

512 cm³

D.

289 cm³

Correct option is B

Given:
Radius of the cone = 7 cm
Height of the cone = 12 cm
Formula Used:
Volume of a cone =13\frac 13​× π × r2r^2​ × h
Where, r = radius of the cone
h = Height of the cone
Solution:
Volume of the cone=13πr2h=>Volume of the cone=13×π×72×12=13×227×72×12=>Volume of the cone=616 cm3\text{Volume of the cone} = \frac{1}{3} \pi r^2 h \\\Rightarrow \text{Volume of the cone} = \frac{1}{3} \times \pi \times 7^2 \times 12 = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times 12 \\\Rightarrow \text{Volume of the cone} = 616 \ \text{cm}^3​​


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