Volume and Surface Area Practice Question and Answer
6 Q: A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?
1269 06051c634a01bc44789a9b503
6051c634a01bc44789a9b503- 150 %true
- 2$$ {33{1\over3}}{ \%}$$false
- 375 %false
- 4$$ {66{2\over3}}{ \%}$$false
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Answer : 1. "50 %"
Q: The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:
1266 05f1e650526299776aa406ba6
5f1e650526299776aa406ba6- 13080true
- 23160false
- 32920false
- 43240false
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Answer : 1. "3080"
Explanation :
$$ {πr^2+πrl}$$
Q: What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ?
1258 060093c3d70bfa73e5e1df2de
60093c3d70bfa73e5e1df2de- 1$$ {275\over 7}$$false
- 2$$ {2200\over 7}$$false
- 3$$ {550\over 7}$$true
- 4$$ {1100\over 7}$$false
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Answer : 3. "$$ {550\over 7}$$"
Q: The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?
1241 0609cd380e941dd6183d59933
609cd380e941dd6183d59933- 14 : 7false
- 23 : 8true
- 34 : 5false
- 45 : 9false
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Answer : 2. "3 : 8"
Q: What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.
1221 05ef052c87cd71c794469687d
5ef052c87cd71c794469687d- 1$$25\sqrt{3}$$true
- 2$$45\sqrt{3}$$false
- 345false
- 440false
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Answer : 1. "$$25\sqrt{3}$$"
Q: What will be the area of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?
1149 05fa916c0ece37f51362def63
5fa916c0ece37f51362def63- 120 πfalse
- 2168 πfalse
- 380 πtrue
- 440 πfalse
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