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If cost of painting is Rs 12 per sq meter of surface area, how much will it cost to paint all surfaces of a solid right circular cylinder with height of 9 meters and base area of 154 sq meters? |
| A) Rs. 8448 B) Rs. 9372 C) Rs. 1540 D) Rs. 3180 Correct Answer : Rs. 8448 Explanation : Base area of cylinder = πr2 = 154 Then, Total Surface Area of cylinder = 2πr(h + r) = 2π*7*(9 + 7) Hence, Cost of painting = 12 * 704 |
If the volume of a cylinder is 2156 cubic cm and height is 14 cm, find its radius? |
| A) 14 cm B) 21 cm C) 3.5 cm D) 7 cm Correct Answer : 7 cm Explanation : h = 14 cm, r = ? |
Find the curved surface area of a right circular cylinder of height 35 cm and the base radius 6 cm? |
| A) 1220 cm2 B) 1230 cm2 C) 1320 cm2 D) 1330 cm2 Correct Answer : 1320 cm2 Explanation : Curved surface area of cylinder= 2πrh |
The volume of a cuboid is 3600 m3. If its length is 25 m and its breadth and height are in the ratio 4:1 respectively , then the total surface area of the cuboid is ? |
| A) 1788 m3 B) 1432 m3 C) 1825 m3 D) 588 m3 Correct Answer : 1788 m3 Explanation : volume of a cuboid, V = LBH (L=length, B = breadth, H=height). Total Surface Area = 2(LB + BH + HL) |
A ball of radius 1 cm is put into a cylindrical pipe so that it fits inside the pipe. If the length of the pipe is 14 m, what is the surface area of the pipe? |
| A) 2200 square cm B) 4400 square cm C) 8800 square cm D) 17600 square cm Correct Answer : 8800 square cm Explanation : Radius of cylinder pipe = 1 cm Length or height of cylinder pipe = 14 m = 1400 cm Surface Area of cylinder pipe = 2πrh Surface area of cylinderpipe = 2 × 22/7 × 1 × 1400 Surface Area = 8800 square cm |
If the surface area of a sphere is reduced to one ninth of the area, its radius reduced to ? |
| A) One-fourth
B) One-third
C) One-fifth
D) One-ninth Correct Answer : One-third Explanation : Let original and new radius of the sphere are r and R respectively according to the question |
Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served in this way is? |
| A) 950
B) 1000
C) 1050
D) 1100 Correct Answer : 1050 Explanation : Volume of cylinder = πr2h = π * (35/2)2 * 32 Number of persons = Volume of cylinder / Volume of cone |