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

Assessment
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Tic Tac Learn
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Mathematics
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9th Grade
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3 plays
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Easy
Student preview

7 questions
Show answers
1.
Multiple Choice
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
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
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
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
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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