Question

Arrange the following three-dimensional objects in the descending order of their volume:

(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm

• A.
  (i), (ii), (iii), (iv)
• B.
  (ii), (i), (iv). (iii)
• C.
  (iii), (ii), (i), (iv)
• D.
  (iv), (iii), (ii), (i)

Answer 1

The correct option is D

(iv), (iii), (ii), (i)
$\left(i\right)Cuboidvolume=10\times 8\times 6=480c{m}^3$

$\left(ii\right)Cubevolume=8\times 8\times 8=512c{m}^3$

$\left(iii\right)Cylindervolume=\pi r^{2}h$

$=\frac{22}{7}\times 7\times 7\times 7=1078c{m}^3$

$\left(iv\right)Spherevolume$

$=\frac{4}{3}\pi r^3=\frac{4}{3}\pi (7{)}^3=1437.33c{m}^3$

$Hence,thedescendingorderoftheirvolumeis\left(iv\right),\left(iii\right),\left(ii\right),\left(i\right)$