Question

Arrange the solids in ascending order (from top to bottom) of volumes, where $l=b=h=r$.

• A. Cuboid
• B. Cone
• C. Cylinder
• D. Sphere

Answer 1

As $l=b=h=r$,
1. Volume of cuboid = $l\times b\times h=r\times r\times r=r^3$

2. Volume of cone = $\frac{1}{3}\pi r^2\times r=\frac{1}{3}\pi r^3=1.04r^3$

3. Volume of Cylinder = $\pi r^{2}h=\pi r^3=3.14r^3$

4. Volume of Sphere = $\frac{4}{3}\pi r^3=4.18r^3$

Therefore, vol. of cuboid < vol. of cone < vol. of cylinder < vol. of sphere.