Question

2. The volume of a cone is 462 m). Its base radius is 7 m. Find its h​

Answer 1

Given -

• Volume of cone =462m²
• Radius (r) =7m

To find -

• The height of the cone

Solution -

We know that,

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

Now putting the values we will get,

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

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

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

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

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

$h = 9$

Therefore the height of the cone is 9 m

Related Formulae -

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

$2)Curved \: surface \: area \: of \: cone = 2\pi \: rh$

$3)Total \: surface \: area \: of \: right \: \\ circular \: cone = \pi \: rl + \pi {r}^{2} = \pi \: r(l + r)$