Question

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

Answer 1

HEY MATE
HERE IS YOUR ANSWER

Radius of cone = radius of hemisphere = 1cm
height of cone = r = 1cm

volume of the solid term= volume of cone + volume of hemisphere


$= \frac{1}{3} \times \pi {r}^{2}h + \: \frac{2}{3} \times \pi {r}^{3}$
= 1 / 3 × 3.14 × 1× 1×1 + 2/3 × 3.14 × 1× 1×1
= 3.14 / 3 + 6.28 / 3
= 1. 046 + 0.293
= 1 . 339 Sq. cm

Therefore volume solid term is 1.339 Sq. cm

HOPE IT HELPS
HAVE A NICE DAY AHEAD

Answer 2

Radius = 1 cm , height = 1 cm

Volume of hemisphere

$= \frac {2}{3} \pi r³$

$= \frac {2}{3} \pi \times 1³ = \frac {2}{3} \pi cm³$

Volume of cone

$= \frac {1}{3} \pi r² h$

$= \frac{1}{3} \pi \times 1² \times 1$

$= \frac {1}{3} \pi cm³$

Total volume

$= \frac {2}{3} \pi + \frac {1}{3} \pi = \pi cm³$