Question

The volume of a cone is 465cm cube and it's base radius is 7cm then it's height is​

Answer 1

Answer:

Given:

Volume of a cone = 465 cm³

Base radius = 7 cm

We know that,

$volume \: of \: a \: cone \: = \frac{1}{3} \times \pi \times {r}^{2} \times h \\ \\ 465 = \frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times h \\ \\ 465 = \frac{22 \times 7 \times h}{3} \\ \\ 465 \times 3 = 154h \\ \\ \frac{1395}{154} = h \\ \\ h = 9 \: cm$

Hence, the height of the cone is 9 cm.

Answer 2

Step-by-step explanation

♣Given:

•Volume of a cone → 465 cm³

•Base radius → 7 cm

We know that,

$volume \: of \: a \: cone \: = \frac{1}{3} \times \pi \times {r}^{2} \times h \\ \\ 465 = \frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times h \\ \\ 465 = \frac{22 \times 7 \times h}{3} \\ \\ 465 \times 3 = 154h \\ \\ \frac{1395}{154} = h \\ \\ h = 9 \: cm$

Hence, the height of the cone is 9 cm.