Volume and Surface Area Practice Question and Answer
8 Q: Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?
907 05ecf3a9b79d67a247e487706
5ecf3a9b79d67a247e487706- 13:1true
- 22:1false
- 34:1false
- 45:1false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "3:1"
Q: The total surface area of a cube is 864 square cm. What will be its volume?
906 05fa919244e71ba46b02a592b
5fa919244e71ba46b02a592b- 1216false
- 21728true
- 3729false
- 4512false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "1728"
Q: What is the total CSA of cone whose radius is 3 cm and height is 4 cm?
902 05e9d2b8b772f97276f50ca91
5e9d2b8b772f97276f50ca91- 1$$ { 24 π cm^2}$$true
- 2$$ { 25 π cm^2}$$false
- 3$$ { 28 π cm^2}$$false
- 4$$ { 20 π cm^2}$$false
- 5None of thesefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "$$ { 24 π cm^2}$$"
Q: If the areas of circular ring having inner and outer radius 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius R1 and height h, then h in terms of R1 will be :
899 060b6101727bd974fe7f5d7a5
60b6101727bd974fe7f5d7a5- 1$$ {40-R_1\over {R_1}}$$false
- 2$$ {40-R_1\over {R_1^{2}}}$$false
- 3$$ {40-R_1^{2}}\over R_1$$true
- 4None of thesefalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "$$ {40-R_1^{2}}\over R_1$$"
Q: The curved surface area of a cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.
898 05fd34d9cc46a213fc5c57945
5fd34d9cc46a213fc5c57945- 13 : 7false
- 27 : 3true
- 36 : 7false
- 47 : 6false
- 55 : 4false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "7 : 3"
Q: If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?
896 05fa91c2d5ebf3a6442752d8e
5fa91c2d5ebf3a6442752d8e- 117.5 cmfalse
- 210.5 cmfalse
- 314 cmfalse
- 47 cmtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "7 cm"
Q: A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :
896 060c08c42e3298a2dec40d26d
60c08c42e3298a2dec40d26d- 1$$ {81 π \ cm^{3}}$$false
- 2$$ {100 π \ cm^{3}}$$true
- 3$$ {91 π \ cm^{3}}$$false
- 4$$ {110 π \ cm^{3}}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "$$ {100 π \ cm^{3}}$$"
Q: The slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:
892 060c09b7f3a55aa3a4ad09e08
60c09b7f3a55aa3a4ad09e08- 1169 π m2false
- 2172 π m2false
- 3165 π m2false
- 4180 π m2true
- Show AnswerHide Answer
- Workspace
- SingleChoice