Question

A hemispherical vessel of radius 14cm is fully filled with sand.the heap of the sand forms a cone shape of height 7. Calculate the area of ground occupied by the circular base of the heap of the sand

Answer 1

Answer:

A hemispherical vessel of radius 14cm is fully filled with sand.the heap of the sand forms a cone shape of height 7.

the area of ground occupied by the circular base of the heap of the sand = 2464 cm²

Step-by-step explanation:

Volume of hemisphere = (2/3) π R³

π = 22/7   R = 14 cm

Sand Volume = (2/3) (22/7) (14)³ = 17248/3 cm³

Volume of Cone = (1/3)π R²H

π R² = Area of ground occupied

H = 7 cm  

Volume of cone = volume of hemisphere = Volume of sand

(1/3)π R²H = 17248/3

=> (1/3)π R²7 = 17248/3

=> π R² = 2464 cm²

area of ground occupied by the circular base of the heap of the Sand​ = 2464 cm²