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ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration
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If the volume of a cylinder of height 7 cm is 448 π cm3, find its lateral surface area and total surface area.
Answer:
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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