Question

The tent is in the form of cylinder of diameter 15m and height 2.4m and surrounded by a cone of equal base and height 4m find the capacity of the tent

Answer 1

The tent is in the form of cylinder of diameter 15m and height 2.4m and surrounded by a cone of equal base and height 4m.

The capacity of the tent is 659.4 m³

Step-by-step explanation:

Diameter of the base of the cylinder = 15 m

Radius of the cylinder r = 15/2 = 7.5 m

Height of the cylinder h = 2.4 m

Height of the cone h' = 4m

Capacity of the tent

= Capacity of the cylinder + Capacity of the cone

$=\pi r^2h+\frac{1}{3}\pi r^2 h'$

$=\pi r^2(h+\frac{1}{3}h')$

$=\pi \times 7.5^2(2.4+\frac{4}{3})$

$=3.14\times 7.5\times 7.5\times \frac{11.2}{3}$

$=659.4$ m³

Hope this answer is helpful.

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