Arithmatical - Volume and Surface Areas
DIRECTIONS : Problems based on Volume&Surface Areas.
10. |
Spheres A and B have their radil 40 cm and 10 cm respectively. The ratio of the surface area of A to the surface area of B is |
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A. 1 : 4 |
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B. 1 : 16 |
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C. 4 : 1 |
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D. 16 : 1 |
Solution |
Let the radil of A and B be r and R respectively. |
Required ratio | = 4Πr2/ 4ΠR2 |
‹=› r2 / R2 |
‹=› (r/R)2 |
‹=›(40/10)2 |
‹=› 16 : 1. |
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11. |
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge? |
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A. 10 |
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B. 100 |
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C. 1000 |
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D. 10000 |
Solution |
Number of cubes | = (100×100×100 /10×10×10) |
‹=› 1000. |
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12. |
The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side? |
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A. Rs. 692 |
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B. Rs. 768 |
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C. Rs. 876 |
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D. Rs. 972 |
Solution |
Surface area of the cube | = (6 ×82)sq.ft |
= 384 sq.ft. |
Quantity of paint required | = (384 / 16)kg |
‹=›24 kg. |
Cost of painting | = Rs.(36.50 ×24) |
= Rs. 876. |
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