1. Find the volume of the sphere which has radius 7 units.
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Correct Ans:1437.33
Explanation:
Given radius = r =7 units
Formula:- Volume of Sphere = 4/3 Pi r^{3}
= 4/3 * (22/7) * 7^3
= 4/3 * 22 * 49
= 1437.33 units
2. A tent is in the form of cone with radius and height 99 units and 2 units respectively. Find the volume of the cone.
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Correct Ans:20535.43
Explanation:
Given, radius = 99 units
Height = 2 units
Volume of the cone = (1/3) * pi * r^2 * h
= (1/3) * (22/7) * 99 * 99 * 2
= 20535.43
Therefore, Volume of the cone = 20535.43
3. Find the volume of the prism which has base area 54 sq. units and height to be given as 18units.
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Correct Ans:972
Explanation:
4. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 24 and 15 units
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Correct Ans:3469.01
Explanation:
5. A tent is in the form of cone with radius and height 78 units and 12 units respectively. Find the volume of the cone
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Correct Ans:76484.57
Explanation:
6. Find the volume of the sphere which has radius 16 units
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Correct Ans:17164.19
Explanation:
7. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 99 and 18 units
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Correct Ans:37000.54
Explanation:
8. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 24 and 20 units
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Correct Ans:4320.18
Explanation:
9. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 98 and 16 units
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Correct Ans:35576.89
Explanation:
10. Two spheres of radius 14 and 7 units are melted and made into one sphere. Find the the volume of the final sphere.
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Correct Ans:12936
Explanation:
11. Find the curved surface area of the cone if the radius and height are 72 units and 4 units respectively.
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Correct Ans:16317.69
Explanation:
12. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 42 and 10 units
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Correct Ans:7055.88
Explanation:
13. Find the volume of the sphere which has radius 17 units
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Correct Ans:20587.81
Explanation:
14. Find the curved surface area of the cone if the radius and height are 7 units and 13 units respectively.
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Correct Ans:324.83
Explanation:
15. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 8 and 21 units
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Correct Ans:2048.18
Explanation:
16. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 83 and 2 units
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Correct Ans:22179.29
Explanation:
17. Find the volume of the sphere which has radius 3 units
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Correct Ans:113.14
Explanation:
18. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 50 and 21 units
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Correct Ans:12101.26
Explanation:
19. Find the curved surface area of the cone if the radius and height are 24 units and 20 units respectively.
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Correct Ans:2356.46
Explanation:
Given, radius = 24 units
Height = 20 units
Curved surface area of the cone = pi * r * L
where, L = sqrt(r^2 + h^2)
=> L = sqrt(24^2 + 20^2)
=> L = sqrt(576 + 400)
=> L = sqrt(976)
=> L = 31.24
Subs L = 31.24 in the formula: Curved surface area of the cone = pi * r * L
=> Curved surface area of the cone = (22/7) * 24 * 31.24
=> Curved surface area of the cone = 2356.39
20. Find the volume of the sphere which has radius 31 units
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Correct Ans:124838.48
Explanation:
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