Question

The volume of a cone is 462 sq.cm and it's base radius is 7cm .find it's height

Answer 1

Hii...☺

Here is your answer.....☺

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Volume of cone = 462cm³

Radius of cone = 7cm

Height (h) =?

volume of a cone = 1/3 π r²h

=> 462 cm³ = 1/3πr²h

=> 462 × 3 = 22/7 × 7 × 7 × h

=> h = 462 × 3/ 22 × 7

=> h = 1386/154

=> h = 9 cm

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Hence, height of the cone is 9 cm.

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Hope this helps you...☺

Answer 2

$hi \: ...$
$here's \: \: \: your \: \: \: answer$
Volume of cone = 462 cu .cm
Radius = 7cm

$we \: \: know \: \: that..$

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

$462 = \frac{1}{3} \times \frac{22}{7} \times {7}^{2} \times h$

$462 = \frac{1}{3} \times \frac{22}{7} \times 49 \times h$

$462 = \frac{1}{3} \times 22 \times 7 \times h$

$462 = \frac{1}{3 } \times 154 \times h$

$\frac{462 \times 3}{154} = h$

$h = \frac{1386}{154}$

$h = 9cm$
Therefore ,
The height of the cone is 9c.m
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$hope \: \: \: this \: \: \: helps.$