Question

Find the volume of a solid in the form of right circular cylinder with hemispherical ends whose total length is 2.7m and the diameter of each hemispherical end is 0.7m

Answer 1

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Answer 2

Answer:

Volume of solid is $0.95 m^3$

Step-by-step explanation:

Given, Diameter of hemispherical ends=0.7 m

⇒ Radius = $\frac{0.7}{2}=0.35 m$

Total length of solid is 2.7 m

Length of cylinder= 2.7-(0.35+0.35)=2 m

Volume of solid=2(Volume of hemisphere)+Volume of cylinder

                         = $2\times \frac{2}{3}\pi r^{3}+\pi r^{2}h\\=2\times \frac{2}{3}\times \frac{22}{7} \times 0.35^{3}+\frac{22}{7}\times 0.35^2\times 2\\ =0.1796 +0.77= 0.95 m^{3}$