Quantitative Aptitude

Mensuration

2,507 Questions

All Direct Formula Application 1067 Shape Transformations 343 Mensuration Ratio Equations 277 Combined & Hollow Solids 247 Successive Percentage Changes 178 Inscribed & Circumscribed Figures 165 Cost Estimation Problems 100 Liquid Pour & Submergence 67 Unit Conversions 35 Path & Border Calculations 17 Time & Work Integration 7 Scale & Model Proportions 2

Mensuration Questions

Multiple choice

The volume of a right circular cone of height $10$ cm and radius of base $6$ cm is

$60 \pi \ \text{cm}^3$
$90 \pi \ \text{cm}^3$
$120 \pi \ \text{cm}^3$
$180 \pi \ \text{cm}^3$

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Multiple choice

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. The ratio of their radii is

$4: 1$
$4: 3$
$3:4$
$1:4$

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Multiple choice

The diameter of the base of the cylinder is $12$ cm and the height is $8$ cm. Find the surface area of the solid cylinder.

$520 \ cm^2$
$524 \ cm^2$
$528 \ cm^2$
$532 \ cm^2$

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Multiple choice

The volume of a sphere of radius $\pi$ cm is ________ cc.

$\dfrac {4\pi^{4}}{3}$
$\dfrac {4}{3}\pi r^{3}$
$4\pi r^{2}$
$\dfrac {4}{3}\pi r^{2}$

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Multiple choice

A sphere of radius $4$ cm has the same volume as that of a cone with a circular base of radius $4$ cm.The height of the cone is

$12$ cm
$16$ cm
$20$ cm
$24$ cm

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Multiple choice

If volume of a cone is $V$, height $h$, slant height 1 and radius of the base $r$, then

$V = \frac{1}{3}\pi r^{2}h$
$V = \frac{1}{2}\pi r^{2}l$
$V = \frac{1}{3}\pi l^{2}h$
$V = \frac{1}{3}\pi h^{2}r$

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Multiple choice

If six cubes of $10$ cm edge are joined end to end, then the surface area (in sq. cm) of the resulting solid is

$3600$
$3000$
$2600$
$2400$

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Multiple choice

If the volumes of a cone and a hemisphere having the same base are equal, then the height of the cone will be $x$ times the radius of the base of hemisphere, where $x$ is

$1$
$2$
$3$
$\pi$

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Multiple choice

A solid sphere of radius $r$ cm is bisected along two perpendicular planes. The total surface area (in$cm^{2}$) of the $4$ pieces formed, is?

$4 \pi r^{2}$
$6 \pi r^{2}$
$8 \pi r^{2}$
$12 \pi r^{2}$

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Multiple choice

The radius of two spheres are in the ratio $5:7$. The volume of the spheres will be in the ratio $25:49$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
Assertion is correct but Reason is incorrect
Both Assertion and Reason are incorrect

Reveal answer Fill a bubble to check yourself

Multiple choice

If ratio of the radius and height of a cylinder is $3:2$, and radius $=21$ cm, then total surface area is

$4620$ $ cm^{2}$
$4000$ $cm^{2}$
$4260$ $cm^{2}$
$6240$ $cm^{2}$

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Multiple choice

The ratio of slant height and radius of a cone is $7:4$. If its curved surface area is $792\ {cm}^{2}$, then find its radius.

$12\ cm$
$21\ cm$
$28\ cm$
$33\ cm$

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Multiple choice

The radius and height of an ice cream cone are in the ratio $4:3$ and area of its base is $154\ cm^{2}$.Find its curved surface area.

$192.5\ cm^{3}$
$150\ cm^{3}$
$176.3\ cm^{3}$
$115.36\ cm^{3}$
$None\ of\ these$

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Multiple choice

The volume of cylindrical pipe is $784{cm}^{2}$ and its height is $14 cm$. If the external radius of the pipe is $9 cm$, then find the thickness of pipe.

$4.87 cm$
$1.86 cm$
$1.54 cm$
$1.44 cm$

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Multiple choice

A wire having diameter 3 mm.is wound about a cylinder whose length is $12 cm$ and diameter $10cm$, so as to cover the curved surface of the cylinder. Find the length and mass of the wire. Assume that the density of the material of the wire is $8.88$ gm per ${cm}^{3}$ ?

$1256 cm, 788 g$
$1256,800 g$
$1200, 788 g$
$1156 cm, 769 g$

Reveal answer Fill a bubble to check yourself

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