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Maths-

General

Easy

Question

The circumference of the base of a 12 cm high wooden solid cone is 44 cm. Find the volume

616 cm³
426 cm³
656 cm³
546 cm³

hint Hint:

Volume of a cone = ( $1 third$ )πr2h
Circumference of base = 2πr

The correct answer is: 616 cm³

We have given the dimensions of a wooden solid cone
Circumference = 44 m = 2πr
44 = 2 ( $22 over 7$ ) r
r = (44 x 7) / 44
r = 7
Radius, r = 7 m
Height, h = 12 m
We have to find the volume of the given cone
We know that
Volume of a cup = (1/3)πr²h
= ( $1 third$ )(3.14)(7 x 7)(12)
= ( $1 third$ )(3.14) (49 x 12)
= ( $1 third$ )(3.14)(588)
= 1848 / 3
= 616 cm³
Therefore, the volume of wooden cone is 616 cm³
Therefore correct option is a) 616 cm³.

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