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:
Answer & explanation
Correct answer: option 2
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)