Test Index

MAT Exam 2023 Paper

© examsnet.com

Question : 87 of 200

Marks: +1, -0

Two cans have the same height equal to 21 cm. One can is cylindrical, the diameter of whose base is 8 cm. The other can has a square base of side 8 cm. What is the difference in their capacities approximately?

$350 \mathrm{~cm}^{3}$
$289 \mathrm{~cm}^{3}$
$450 \mathrm{~cm}^{3}$
$300 \mathrm{~cm}^{3}$

Solution:

Concept:

Volume of a cylinder is

\pi r^2 h

, and volume of a can with a square base is

(\text{side})^2 \times h

.

Explanation:

Cylindrical can: radius

r = \frac{8}{2} = 4

cm and height

h = 21

cm.

Volume

= \pi r^2 h = 3.14 \times 4^2 \times 21 = 1055.04

cm

^3

.

Square-base can: side

= 8

cm, height

= 21

cm.

Volume

= (8)^2 \times 21 = 64 \times 21 = 1344

cm

^3

.

Difference in capacities

= 1344 - 1055.04 = 288.96

cm

^3 \approx 289

cm

^3

.

Answer:

Option B:

289

cm

^3

.

© examsnet.com

Go to Question:

Prev Question

Next Question