# ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration

Question 11 Mensuration Exercise 17.1

If the volume of a cylinder of height 7 cm is 448 π cm3, find its lateral surface area and total surface area.

Solution:

The capacity of a cylinder is measured by its volume, which determines how much material it can carry.

Given Height of the cylinder, h = 7 cm

Volume of the cylinder, V = 448π cm3

π r2h = 448π

r2×7 = 448

r2 = 448/7 = 64

r = 8

Lateral surface area = 2π rh

= 2×π ×8×7

= 112 π cm2

Total surface area = 2π r(r+h)

= 2×π ×8×(8+7)

= 2×π ×8×15

= 240 π cm2

Hence the lateral surface area and the total surface area of the cylinder are 112 π cm2 **and 240π cm2.**

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