Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 3

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9th Andhra Pradesh Board

IMPORTANT

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Curved surface area of a cone is $308 {cm}^{2}$ and its slant height is $14 cm$ . If the radius of the base in $cm$ is $k$ , find the value of $k$

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Important Questions on Surface areas and Volumes

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9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 3

Curved surface area of a cone is

308 {cm}^{2}

and its slant height is

14 cm

. Find total surface area of the cone.

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9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 4

The cost of painting the total surface area of a cone at

25

paise per

{cm}^{2}

is

₹ 176

. Find the volume of the cone, if its slant height is

25 cm .

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9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 5

From a circle of radius

15 cm

, a sector with angle

216 °

is cut out and its bounding radii are bent so as to form a cone. Find its volume.

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9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 6

The height of a tent is

9 m

. Its base diameter is

24 m

. What is its slant height? Find the cost of canvas cloth required if it costs

₹ 14

per square metre.

HARD

9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 7

The curved surface area of a cone is

1159 \frac{5}{7} {cm}^{2}

. Area of its base is

254 \frac{4}{7} {cm}^{2}

. Find its volume.

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9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 8

A tent is cylindrical to a height of

4.8 m

and conical above it. The radius of the base is

4.5 m

and total height of the tent is

10.8 m

. Find the canvas required for the tent in square meters

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9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 9

What length of tarpaulin

3 m

wide will be required to make a conical tent of height

8 m

and base radius

6 m

? Assume that extra length of material that will be required for stitching margins and wastage in cutting is approximately

20 cm .

(use π = 3.14)

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9th Andhra Pradesh Board

IMPORTANT

Mathematics Class 9>Chapter 10 - Surface areas and Volumes>EXERCISE - 10.3>Q 10

A Joker's cap is in the form of a right circular cone of base radius

7 cm

and height

24 cm

. Find the area of the sheet required to make

10

such caps.