Volume of a Right Circular Cone | Surface Areas and Volumes | Assessment | English | Grade 9

Volume of a Right Circular Cone | Surface Areas and Volumes | Assessment | English | Grade 9

Assessment

Assessment

Created by

Tic Tac Learn

Mathematics

9th Grade

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Easy

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7 questions

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1.

Multiple Choice

30 sec

1 pt

The formula of volume of a cone is ______

1/2x𝜋r²h

1/3x𝜋rh³

1/3 x 𝜋r²h

1/3x𝜋r³h

Answer explanation

The formula of volume of a cone is 1/3x𝜋r²h.

2.

Multiple Choice

30 sec

1 pt

The volume of a cone having diameter 4 cm and height 6 cm is ___cm³.

8𝜋 cm³

6𝜋 cm³

7𝜋 cm³

9𝜋 cm³

Answer explanation

r = d/2 = 4/2 = 2 cm Volume of a cone = 1/3x𝜋r²h = 1/3 x 𝜋 x 2 x 2 x 6 = 8𝜋 cm³

3.

Multiple Choice

30 sec

1 pt

Find the volume of the right circular cone with radius 7 cm and height 9 cm.(Take 𝜋 = 22/7)

465cm³

462 cm³

475 cm³

445 cm³

Answer explanation

r = 7cm, h = 9 cm Volume of a cone = 1/3x𝜋r²h = (1/3) x (22/7) x 7 x 7 x 9 = 462 cm³

4.

Multiple Choice

30 sec

1 pt

Media Image

Find the volume of the given right circular cone. (Take 𝜋 = 22/7)

117.2 cm³

334.3 cm³

240.5 cm³

277.2 cm³

Answer explanation

r = 4.2 cm, h = 15 cm Volume of a cone = 1/3 x 𝜋r²h = (1/3) x (22/7) x (42/10) x (42/10) x 15 = 277.2 cm³

5.

Multiple Choice

30 sec

1 pt

Find the volume of the right circular cone with height 24 cm and slant height 25 cm.(Take 𝜋 = 22/7)

1150 cm³

1232 cm³

1434 cm³

1565 cm³

Answer explanation

l = 25 cm, h = 24 cm, r = ? By Pythagoras theorem l² = h² + r² (25)² = (24)² + r² r² = (25)² - (24)² r² = 625 - 576 r² = 49 r = √49 r = 7 cm Volume of a cone = 1/3 x 𝜋r²h = (1/3) x (22/7) x 7 x 7 x 24 = 1232 cm³

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