Step-by-step explanation:
Diameter of base of cone = 30 cm .
Hence its radius = 30/2 cm = 15 cm
So , here the figure consists of a hemisphere and a cylinder . Now , here radius of the hemisphere is 15 cm . So , height of the Cylinder = ( 85 - 15 ) cm = 70 cm
→Volume of Cylinder :-
[tex]\large\boxed{\red{ Volume_{cylinder}=\pi r^2 h }}[/tex]
→ Volume = π r²h
→ Volume = 22/7 * ( 15 cm)² * 70 cm
→ Volume = 49,500 cm³ .
Volume of hemisphere :-
[tex]\large\boxed{\green{Volume_{hemisphere}=\dfrac{2}{3}\pi r^3}}[/tex]
→ Volume = ⅔ π r³
→ Volume = ⅔ * 22/7 * (15 cm)³
→ Volume = 10,607.14 cm³ ≈ 10 , 607 cm³ .
Hence Volume = ( 10 , 607 cm³ + 49,500 ) cm³ = 60,107 cm³
