Consider the volumes of the following:

(A) A cylinder with a radius of base 7 cm and height 10 cm.
(B) A cone of radius 7 cm and height 9 cm.
(C) A sphere of radius 6 cm.

The volumes of these figures in decreasing order shall be:

Choose the correct answer from the options given below:

(A), (C), (B)

The correct answer is Option (2) → (A), (C), (B)

Let us calculate the volumes:

(A) Cylinder

$V = \pi r^2 h = \pi \times 7^2 \times 10 = 490\pi$

(B) Cone

$V = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi \times 7^2 \times 9 = 147\pi$

(C) Sphere

$V = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi \times 6^3 = 288\pi$

Now compare:

$490\pi > 288\pi > 147\pi$

Decreasing order of volumes:

(A), (C), (B)