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

- 616 cm
^{3} - 426 cm
^{3} - 656 cm
^{3} - 546 cm
^{3}

^{3}^{3}^{3}^{3}Hint:

### Volume of a cone = ()πr2h

Circumference of base = 2πr

## The correct answer is: 616 cm^{3}

### We have given the dimensions of a wooden solid cone

Circumference = 44 m = 2πr

44 = 2 () 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)πr^{2}h

= ()(3.14)(7 x 7)(12)

= ()(3.14) (49 x 12)

= ()(3.14)(588)

= 1848 / 3

= 616 cm^{3}

Therefore, the volume of wooden cone is 616 cm^{3}

Therefore correct option is a) 616 cm^{3}.

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)πr

^{2}h

^{3}

Therefore, the volume of wooden cone is 616 cm

^{3}

Therefore correct option is a) 616 cm

^{3}.

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