A solid metallic sphere of radius 6 c m is melted and made into a solid cylinder of height 32 c m . Find the curved surface area of the cylinder. (Take π = 3 . 1 )

Radius of metallic sphere R = 6 c m Height of cylinder h = 32 c m Volume of cylinder = Volume of metallic sphere π r 2 h = 4 3 π R 3 r 2 × 32 = 4 3 × 6 3 r 2 = 4 × 6 × 6 × 6 3 × 32 r 2 = 9 r = 3 c m Then, curved surface area of the cylinder = 2 π r h = 2 × 3 . 1 × 3 × 32 = 595 . 2 c m 2

E M B I B E

Understanding ICSE Mathematics Class 10>Chapter 17 - Mensuration>Exercise 17.1>Q 10

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A cylinder has a diameter of $20 cm$ . The area of curved surface is $1000 {cm}^{2}$ . Find the volume of the cylinder correct to one decimal place.

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Important Questions on Mensuration

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IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 17 - Mensuration>Exercise 17.1>Q 11

The barrel of a fountain pen, cylindrical in shape, is

7 cm

long and

5 mm

in diameter. A full barrel of ink in the pen will be used up when writing

310

words on an average. How many words would use up a bottle of ink containing one-fifth of a litre> (answer correct to the nearest

100

words.)

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Understanding ICSE Mathematics Class 10>Chapter 17 - Mensuration>Exercise 17.1>Q 12

Find the ratio between the total surface area of a cylinder to its curved surface area given that its height and radius are

7.5 cm

and

3.5 cm

.

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Understanding ICSE Mathematics Class 10>Chapter 17 - Mensuration>Exercise 17.1>Q 13

The radius of the base of a right circular cylinder is halved and the height is doubled. What is the ratio of the volume of the new cylinder to that of the original cylinder?

HARD

10th ICSE

IMPORTANT

Understanding ICSE Mathematics Class 10>Chapter 17 - Mensuration>Exercise 17.1>Q 14

The sum of the radius and the height of a cylinder is