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If a cone has base with radius of 5 cm and height of 10 cm, then its volume (correct to 2 decimal places) is ___________ cm3\text{cm}^3cm3​. (Use π =
Question

If a cone has base with radius of 5 cm and height of 10 cm, then its volume (correct to 2 decimal places) is ___________ cm3\text{cm}^3​. (Use π = 3.14)

A.

261.70


B.

261.60

C.

261.67

D.

261.50

Correct option is C

Given:

Radius of the cone, r =5 cm

Height of the cone, h =10 cm

π=3.14

Formula Used:

The volume V of a cone is given by:

V = 13πr2h\frac{1}{3} \pi r^2 h​​

Solution:

V=13×3.14×(5)2×10 \frac{1}{3} \times 3.14 \times (5)^2 \times 10​​

V =13×3.14×25×10 \frac{1}{3} \times 3.14 \times 25 \times 10​​

V =13×3.14×250 \frac{1}{3} \times 3.14 \times 250​​

V = 7853=261.67 cm3\frac{785}{3} = 261.67 \text{ cm}^3

Option (C) is right.

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