Question

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π​

Answer 1

Step-by-step explanation:

Volume of solid=volume of hemisphere+volume of cone

=2/3πr^3+πr^2h

=2/3× 1^3+1^2×1

=2/3+1

=2+3/3

=5/3

=1.6cu cm

Answer 2

$\huge\sf{Given:-}$

$\large\sf{radius\:of\:hemisphere=1cm}$

$\large\sf{radius\:of\:cone=1cm}$

$\large\sf{height\:of\:cone=1cm}$

━━━━━━━━━━━━━━━

$\small\sf{Volume\:of\:solid=Volume\:of\:cone-Volume\:of\:hemisphere}$

= $\large\bold{\frac{1}{3} {\pi \: r}^{2} h + \frac{2}{3} {\pi \: r}^{3}}$

=$\large\bold{\frac{1}{3} \times \pi \times 1 \times 1 \times 1 + \frac{2}{3} \times \pi \times 1 \times 1}$

= $\large\bold{{πcm}^{3}}$