A solid in the sh

We have

Given: radius of the cone as well as the hemisphere (r) = 7 cm, height of the cone (h) = 14 cm

To find volume of the solid, it can be given by

Volume of the solid (f) = Volume of the hemisphere (V_H) + Volume of the cone (V_C) …(i)

Also,

V_H = (2/3) πr³

⇒ V_H = (2/3) π × 7³ …(ii) (as given value of r)

V_C = (1/3) πr²h

⇒ V_C = (1/3) π × 7² × 14 …(iii) (as given values of r and h)

Substituting equations (ii) and (iii) in equation (i), we get

f = (1/3) π × 7² [2 × 7 + 14]

⇒

⇒ f = 1437.3 cm³

Hence, Volume of the solid is 1437.3 cm³.