Question

Tom wants to make a model rocket with the following dimensions:


Find the volume of the model rocket.

Answer 1

Given,
The radius of a cone, \(r = 3\) cm
The height of a cone, \(h = 5\) cm

As we know,
the volume of a cone \(=\dfrac{1}{3}\pi r^2h\)
\(=\dfrac{1}{3}\pi (3)^2(5)\)
\(=\pi ×3×5=15\pi\) cu cm

Given:
The radius of a cylinder, \(r = 3\) cm
The height of a cylinder, \(h = 8\) cm

As we know,
the volume of a cylinder \(=\pi r^2h\)
\(=\pi× 3^2×8=72\pi\) cu cm

Total volume of the model rocket = volume of cone + volume of cylinder
\(= 15\pi+72 \pi\)
\(=87\pi\) cu cm