Volume and Surface Area Practice Question and Answer
8 Q: A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path?
1411 05fbe70c9aa47db563875b7ae
5fbe70c9aa47db563875b7ae- 11020 πfalse
- 21075 πtrue
- 31050 πfalse
- 41100 πfalse
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Answer : 2. "1075 π"
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?
1410 05ecf3a9b79d67a247e487706
5ecf3a9b79d67a247e487706- 13:1true
- 22:1false
- 34:1false
- 45:1false
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Answer : 1. "3:1"
Q: The heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2:3:1, then the ratio of their volumes is:
1410 05f59cf9bb772fe2f8b2230a0
5f59cf9bb772fe2f8b2230a0- 12:9:2false
- 24:9:1false
- 34: 27:2true
- 42 : 3: 1false
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Answer : 3. "4: 27:2"
Q: From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.
1408 05f8016fb0a69ab3becc7d418
5f8016fb0a69ab3becc7d418- 1$$ {1\over3}π{r^{2}}h$$false
- 2$$ {1\over24}π{r^{2}}h$$false
- 3$$ {7\over24}π{r^{2}}h$$true
- 4$$ {1\over8}π{r^{2}}h$$false
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Answer : 3. "$$ {7\over24}π{r^{2}}h$$"
Q: A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?
1408 05f2e3cbf8c86ab1da00043b1
5f2e3cbf8c86ab1da00043b1- 1289false
- 2616false
- 3962.56false
- 4481.056true
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Answer : 4. "481.056"
Q: One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?
1408 05ee9a728bc81cb2528ec0497
5ee9a728bc81cb2528ec0497- 1150 m²false
- 2140 m²false
- 3130 m²false
- 4120 m²true
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Answer : 4. "120 m²"
Q:Directions: Bar graph given below shows pens sold by a retailor on five different days. Study the data carefully and answer the following questions.
Sum of volume of cylinder (S) and volume off cone (C) is 2190𝝅 cm² & height of both cylinder and cone is same i.e, 10 cm. If radius of cone is 15 cm then find the ratio of radius of S to radius of C?
1388 0619f56c802f30f77f96539bd
619f56c802f30f77f96539bd- 11 : 2false
- 23 : 4false
- 32 : 5false
- 44 : 5true
- 53 : 5false
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Answer : 4. "4 : 5"
Q: The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism?
1383 05f2e3eca79b9e641a7646849
5f2e3eca79b9e641a7646849- 1950 cm3false
- 2970 cm3false
- 3960 cm3true
- 4940 cm3false
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