Question

8./ Find the volumes of the following objects:
:
Cones
a. height = 5 cm, radius = 2 cm
b. height = 6 cm radius = 4 cm
C. height = x cm, radius
2cm​

Answer 1

Answer :-

We know that,

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

a) h = 5 cm and r = 2 cm

$\implies\sf Volume = \frac{1}{3} \pi r^2 h$

$\implies\sf \frac{1}{3} \pi \times 2^2 \times 5$

$\implies\sf \frac{1}{3} \times \frac{22}{7} \times 20$

$\implies\sf \approx 21$

$\boxed{\sf Volume = 21 cm^3 }$

⠀

b) h = 6 cm and r = 4 cm

$\implies\sf Volume = \frac{1}{3} \pi r^2 h$

$\implies\sf \frac{1}{3} \pi \times 4^2 \times 6$

$\implies\sf \frac{1}{3} \times \frac{22}{7} \times 96$

$\implies\sf \approx 100.5$

$\boxed{\sf Volume = 100.5 cm^3 }$

⠀

c) h = x cm and r = 2 cm

$\implies\sf Volume = \frac{1}{3} \pi r^2 h$

$\implies\sf \frac{1}{3} \pi \times 2^2 \times x$

$\implies\sf \frac{1}{3} \times \frac{22}{7} \times 4x$

$\implies\sf \approx 4x$

$\boxed{\sf Volume = 4x cm^3}$