# Mensuration Questions and Answers updated daily – Aptitude

Mensuration Questions: Solved 782 Mensuration Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Mensuration Questions

121. Find the volume of the cone whose base area of the circle is 100 and height is 24 m.

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Correct Ans:800

Explanation:

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122. The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?

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Correct Ans:2:5

Explanation:

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123. A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

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Correct Ans:9

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124. A cone has a circular base of radius 6m and volume 84π m

^{3}. height of cone isSHOW ANSWER

Correct Ans:7

Explanation:

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125. If the surface area of the sphere is 4 pi then the radius will be equal to

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Correct Ans:1

Explanation:

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126. What will be the volume of the cone if the radius and height are of 1 unit length.

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Correct Ans:22/21

Explanation:

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127. Find the volume of the sphere of radius 20 cm.

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Correct Ans:335.2

Explanation:

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128. Find the area of the equilateral triangle of side 16 cm

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Correct Ans:110.85

Explanation:

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129. In an equilateral triangle ABC an angle bisector is drawn from vertex A to edge BC and the point of intersection is named as D, find the angle measure of CAD

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Correct Ans:30

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130. Find the surface area of the sphere of radius 21 cm.

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Correct Ans:5544

Explanation:

__:- Surface area of a sphere of radius R = 4 * Pi * R__

**Formula**^{2}

Givenradius R = 21 cm

Then,Surface area of the sphere = 4 * (22/7) * 21 * 21

=4 * 22 * 3 * 21

=

**5544 cm**

^{2}
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131. Find the volume of the sphere of radius 7

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Correct Ans:1437.33

Explanation:

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132. Find the volume of the cone whose radius is 14 cm and height is 10 cm

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Correct Ans:2053.33

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133. Find the area of the trapezium if the length of the parallel sides are 12 and 78 cm and the distance between the parallel side is 20.

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Correct Ans:900

Explanation:

For trapezium, Given values are

Length of the parallel sides = 12 cm and 78 cm

Distance b/w parallel sides = height = 20 cm

= [(12 + 78) * 20] / 2

= (90 * 20) / 2

= 1800 / 2

= 900 cm^2

Thus, the

Length of the parallel sides = 12 cm and 78 cm

Distance b/w parallel sides = height = 20 cm

**Area of the trapezium = (sum of the****Length of the parallel sides * height) / 2**= [(12 + 78) * 20] / 2

= (90 * 20) / 2

= 1800 / 2

= 900 cm^2

Thus, the

**Area of the trapezium = 900 cm^2**
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134. Find the volume of the cuboid of dimensions 12 x 11 x 15

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Correct Ans:1980

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135. Find the circumference of the circle whose area is 100 pi

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Correct Ans:20 pi

Explanation:

Given, Area of the circle = 100 pi

W.K.T Formula for

=> r^2 = 100

=> r = sqrt(100)

= 2 * pi * 10

W.K.T Formula for

**Area of the circle = pi * r^2****=> pi * r^2 = 100 pi**=> r^2 = 100

=> r = sqrt(100)

**=> r = 10****Circumference of the circle = 2 * pi * r**= 2 * pi * 10

**= 20 pi****Thus, Circumference of the circle = 20 pi.**
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136. Find the volume of the prism of base area 12 cm^2 and height 10 cm.

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Correct Ans:120

Explanation:

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137. Find the sum of any two angles of an equilateral triangle

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Correct Ans:240

Explanation:

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138. Find the area of the equilateral triangle whose side is 10 units

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Correct Ans:43.3

Explanation:

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139. Find the surface area of the sphere if the radius is 14 cm

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Correct Ans:2464

Explanation:

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140. Find the volume of the sphere of radius 7 units

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Correct Ans:1437.33

Explanation:

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