Question

A rocket in the shape of a cylinder with a cone attached to one end and a hemisphere at to the other end .all of them are of the same radius of 1.5m .the total length of the rocket is 7m and height of cone is 2m .calculate the volume of the rocket

Answer 1

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Answer 2

Answer:

Volume of Rocket is 16.5 m³

Step-by-step explanation:

Given: Radius of Cone, Cylinder, Hemisphere = 1.5 m

           Height of cone = 2 m

           Total Height of Rocket = 7 m

To find: Volume of Rocket

Volume of Rocket = Volume of Cone + Volume of Cylinder

                                 + Volume of Hemisphere

Height of Cylinder = 7 - ( 2 + 1.5 ) = 7 - 3.5 = 3.5 m   (from figure)

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

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

                              = $\frac{1}{3}\times\frac{22}{7}\times(1.5)^2\times(2+3.5+1.5)$

                              = $\frac{1}{3}\times\frac{22}{7}\times(1.5)^2\times7$

                              = $22\times1.5\times0.5$

                              = $16.5\:m^3$

Therefore, Volume of Rocket is 16.5 m³