Question

A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them is being 3.5cm and the total height of the solid is 9.5cm. find the volume of the solid.

Answer 1

Hope it will help u......

Answer 2

The volume of the solid is 166.83 cm³

Step-by-step explanation:

Consider the provided information.

The radius of hemisphere and the radius of cone (r) = 3.5 cm,

Total height of the solid is 9.5 cm.

height of hemisphere  is equal to the radius of hemisphere.

Height of the cone = Total height of solid – height of hemisphere  

Height of the cone (h) = 9.5 – 3.5 = 6 cm

Volume of the solid = Volume of the hemisphere + Volume of the cone

Volume of the solid = $\frac{2}{3}\pi r^3+\frac{1}{3}\pi r^2h$

Substitute respective values.

Volume of the solid = $\frac{2}{3}\times\frac{22}{7}\times (3.5)^3+\frac{1}{3}\times\frac{22}{7}\times(3.5)^2(6)$

Volume of the solid = $\frac{2}{3}\times\frac{22}{7}\times42.875+\frac{1}{3}\times\frac{22}{7}\times73.5$

Volume of the solid = 89.83+77

Volume of the solid = 166.83

Hence, the volume of the solid is 166.83 cm³

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