Suresh wanted to keep volume of his right circular cone shaped cap same, but increase its height to 9 times. By how much should he increase or decrease the radius?
Answer: B
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Line segment which joins distinct points on circumference is called
Answer: B
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A conical cavity is drilled in a circular cylinder of 15 cm height and 16 cm base diameter. The height and the base diameter of the cone are the same as those of the cylinder. Determine the total surface area of the remaining solid.
Answer: A
Total surface area = CSA of cylinder + Area of base of cylinder + CSA of cone
= 2πrh + πr⊃2; + πrl
= 240π + 64π + 136π
= 440π cm⊃2;
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The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Answer: D
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A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of some liquid. The contents of this vessel are emptied into a cylindrical vessel with an internal radius of 10 cm. Find the height to which the liquid rises in the cylindrical vessel.
Answer: C
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The theatre in the town is built in the form of a kite. It's perimeter is 100 m. If one of the sides measure 20 m, then what are the measurements of others sides?
Answer: D
W.K.T, the shape of Kite resembles Quadrilateral.
The adjacent sides of a kite are of equal length.
Given, perimeter of Quadrilateral = 100 m
Length of one of the side = x = 20 m
Let the Length of other side = y
W.K.T, perimeter of Quadrilateral = sum of the length of all the four sides
---> 100 = 20 + 20 + y + y
---> 100 = 40 + 2y
---> 60 = 2y
---> y = 30 m
Hence, the length of sides of the kite (ie., Quadrilateral) = 20 m, 20 m, 30 m, 30 m
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By converting 3.5rad into degrees, answer will be
Answer: A
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How many spherical bullets can be made out of a lead cylinder 28 cm high and with base radius 6 cm, each bullet being 1.5 cm in diameter?
Answer: D
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The area of a field in the shape of a trapezium measures 1440 m⊃2;. The perpendicular distance between the parallel side is 24m. If the ratio of the parallel sides is 5:3, what is the length of the longer parallel side?
Answer: A
Given, ratio of the parallel sides of a trapezium = 5 : 3
---> Let the parallel sides (ie., 'a' and 'b') be 5x and 3x respectively.
Given, perpendicular distance = height = 24 m
and Area = 1440 m2
Formula: Area of Trapezium = (1/2) * h * (a + b)
---> 1440 = (1/2) * 24 * (5x + 3x)
---> 1440 = 12 * (8x)
---> 120 = 8x
---> 15 = x
Thus, parallel sides, a = 5x = 5 * 15 = 75 m
and b = 3x = 3 * 15 = 45 m
Hence, Longer parallel side is 'a' = 75 m
Smaller parallel side is 'b' = 45 m.
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Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
Answer: C
Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them) = 1/2 (20 + 18) * (15) = 285 cm⊃2;
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