The area of the base of a right circular cone is 78.5 cm2. If its he

1.	The area of the base of a right circular cone is 78.5 cm2. If its height is 12 cms, then its volume is ………cm3.A) 31.4 B) 314 C) 304 D) 404
Answer» Correct option is: B) 314 Given that the area of the base of right circular cone = 78.5 \(cm^2\) \(\therefore\) \(\pi r^2\) = 78.5 \(cm^2\) Also given that height of the cone is h = 12 cm. \(\therefore\) Volume of cone = \(\frac 13 \pi r^2h\) = \(\frac 13 \times 78.5 \times 12\) = 78.5 \(\times\) 4 = 314 \(cm^3\) Hence, the volume of the cone is 314 \(cm^3\). Correct option is: B) 314

The area of the base of a right circular cone is 78.5 cm2. If its height is 12 cms, then its volume is ………cm3.A) 31.4 B) 314 C) 304 D) 404

Answer»

Correct option is: B) 314

Given that the area of the base of right circular cone = 78.5 \(cm^2\)

\(\therefore\) \(\pi r^2\) = 78.5 \(cm^2\)

Also given that height of the cone is h = 12 cm.

\(\therefore\) Volume of cone = \(\frac 13 \pi r^2h\)

= \(\frac 13 \times 78.5 \times 12\)

= 78.5 \(\times\) 4

= 314 \(cm^3\)

Hence, the volume of the cone is 314 \(cm^3\).

Correct option is: B) 314