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objective Ques (100 results)
91)

A solid metallic sphere of radius 13 cm is melted and recast into a cone having diameter of the base as 13 cm. What is the height of the cone?

SSC CGL 2022
A)

174 cm

B)

152 cm

C)

246 cm

D)

208 cm

92)

What is the edge of a cube whose volume is equal to the sum of the volumes of the cubes of edge 6 cm, 8 cm and 10 cm?

SSC CGL 2022
A)

6 cm

B)

3 cm

C)

5 cm

D)

12 cm

93)

If the diameter of a solid hemisphere is 12.6 cm, then its volume is \((take \pi=\frac{22}{7} ):\)

SSC CGL 2022
A)

523.908

B)

987

C)

1,259 cm3

D)

1,235.621

94)

If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?

SSC CGL 2022
A)

5

B)

3

C)

2

D)

4

95)

How many metres of 2-m-wide cloth will be required to make a conical tent with a diameter of the base as 14 m and slant height as 9 m? (ignore wastage)

SSC CGL 2022
A)

99 m

B)

88 m

C)

66 m

D)

77 m

96)

The radius of a right circular cylinder is four times of its height. If the height of the cylinder is 14 cm, then what is the volume of cylinder?

SSC CGL 2022
A)

137984 cm3

B)

14262 cm3

C)

15468 cm3

D)

11296 cm3

97)

The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. \((use \pi = \frac{{22}}{7} )\)

SSC CGL 2022
A)

379.3 cm3

B)

359.3 cm3

C)

345.6 cm3

D)

369.3 cm3

98)

Area of the floor of a cubical room is 64 m2. The length of the longest rod that can be kept in the room is:

SSC CGL 2022
A)

\(12\sqrt3 \)m

B)

\(4\sqrt3\) m

C)

\(16\sqrt3\) m

D)

\(8\sqrt3\) m

99)

A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15 cm, what will be the height to which the water rises in it?

SSC CGL 2022
A)

12 cm

B)

10 cm

C)

16 cm

D)

14 cm

100)

A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?

SSC CGL 2022
A)

166 cm

B)

192 cm

C)

258 cm

D)

224 cm

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