Question

the volume of right circular cone is 9856cm if the radius of the base is 14 cm find the hight of the cone

Answer 1

volume of cone=9856
$\frac{1}{3} \times \frac{22}{7} \times 14 \times 14 \times h = 9856 \\ h = \frac{9856 \times 3 \times 7}{22 \times 14 \times 14} \\ h = 48cm$

Answer 2

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Given ,

Volume of right circular cone = 9856 cm

Radius of right circular cone = 14 cm

height = ?

We have to find the height

$\text{volume \: of \: cone} = \frac{1}{3} \pi\text{ {r}}^{2} \text{h}$

$9856 { \text{cm}}^{2} = \frac{1}{3} \times \frac{22}{ \cancel7} \times \cancel{14} \times 14 \times \text{h}$

$9856 { \text{cm}}^{2} = \frac{1}{3} \times 22 \times 2 \times 14 \times \text{h}$

$22 \times 28 \times \text{h} = 3 \times 9856 { \text{cm}}^{3}$

$\text{h} = \frac{3 \: \times \: \cancel{9856}}{22 \: \times \cancel \: \:{ 28}}$

$\text{h} = 48 \text{ cm}$