Question

if the volume of cone is 2200 cm³ and its height is 21 cm, then it's radius is ......... cm.​

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

$\small{\underline{\blue{\sf{Given :}}}}$

• Volume of cone is 2200 cm³.

• Height of cone is 21 cm.

$\rule{200}{1}$

$\small{\underline{\green{\sf{Solution :}}}}$

We know the formula to find the volume of cone.

$\Large{\star{\boxed{\sf{Volume = \frac{1}{3} \pi r^2 h}}}}$

______________[Put Values]

$\sf{→2200 = \frac{1}{3} \times \frac{22}{\cancel{7}} \times r^2 \times \cancel{21}} \\ \\ \sf{→2200 \times 3 = \frac{22}{7} \times r^2 \times 3}\\ \\ \sf{→2200 \times \frac{\cancel3}{\cancel3} = 22 \times r^2} \\ \\ \sf{→\frac{\cancel{2200}}{\cancel{22}} = r^2} \\ \\ \sf{→100 = r^2} \\ \\ \sf{→r = (\sqrt{10})^2} \\ \\ \sf{→r = 10}$

$\Large{\star{\boxed{\sf{Radius = 18 \: cm}}}}$

Answer 2

Hope it is helpful to you