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

A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the ratio $5:12$ respectively, then the ratio of the total surface area of the cylinder to that of the cone is __________.

$3:1$
$13:9$
$17:9$
$34:9$

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Multiple choice

The ratio of total surface area that of lateral surface area of a cylinder whose radius is $20$cm and height $60$cm, is _________.

$2:1$
$3:2$
$4:3$
$5:3$

Reveal answer Fill a bubble to check yourself

Multiple choice

If the volume of a sphere is divided by its surface area, we obtain 27 cm. The radius of the sphere is

9 cm
81 cm
27 cm
24 cm

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Multiple choice

The base of a solid cylinder of height 10 cm is a semi-circle of radius 7 cm. Its total surface is $(\pi ={ 22 }/{ 7 })$

$176\ { cm }^{ 2 }$
$514\ { cm }^{ 2 }$
$154\ { cm }^{ 2 }$
$None\ of\ these$

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Multiple choice

The radius of the cylinder whose lateral surface area is $80 \pi cm^{2}$ and height is $8$ cm is:

$6$ cm
$5$ cm
$8$ cm
$14$ cm

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Multiple choice

The volume of a sphere is $\dfrac {88}{21}\times (14)^{3} cm^{3}$. The curved surface of the sphere is (Take $\pi = \dfrac {22}{7}$).

$2424\ cm^{2}$
$2446\ cm^{2}$
$2484\ cm^{2}$
$2464\ cm^{2}$

Reveal answer Fill a bubble to check yourself

Multiple choice

The volume of a rectangular solid each of whose side, front and bottom faces are 12 sq.cm., 8 sq. cm., and 6 sq. cm. respectively, is:

576 cu. cm.
24 cu. cm.
9 cu. cm.
104 cu. cm.
None of these

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Multiple choice

If the radius of the base of a cylinder is $2$ cm and its height $7$ cm, then its curved surface is

$44 cm^2$
$22 cm^2$
$88 cm^2$
$56 cm^2$

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Multiple choice

Curved surface of right circular cylinder is $4.4 m^2$, radius of base is $0.7$ m, then the height is (Take $\pi =22/7)$.

$1$ m
$2$ m
$3$ m
$4$ m

Reveal answer Fill a bubble to check yourself

Multiple choice

Find the area of curved surface if area of base of cylindrical tank is $176cm^2$ and height is $30$cm.

$1310$ sqcm
$1993.272$ sq cm
$1100$ sq cm
none of the above

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Multiple choice

Height of a solid cylinder is $10$ cm and diameter $8$ cm. Two equal conical holes have been made from both the ends of cylinder. If the diameter of the hole is $6$ m and height $4$ cm. The volume of the remaining portion is

$24 \pi \ \text{cm}^3$
$36 \pi \ \text{cm}^3$
$72 \pi \ \text{cm}^3$
$136 \pi \ \text{cm}^3$

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Multiple choice

A building has $25$ cylindrical shaped poles. Each has a radius of $28$ cm and a height of $4$ cm. Find the cost of painting curved surface of all poles at the rate of Rs. $8$ per $m^2$.

$7\pi $ Rs
$8\pi $ Rs
$8.96\pi $ Rs
$56\pi $ Rs

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Multiple choice

The radius of two cylinders are in the ratio $2:3$ and their heights are in the ratio $3:5$. Find the ratio of their volumes.

$\dfrac{2}{3}$
$\dfrac{3}{5}$
$\dfrac{4}{15}$
$\dfrac{3}{2}$

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Multiple choice

From a circular cylinder of diameter $10 cm$ and height $12 cm$, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid. Leave the answer in $\pi$.

$210\pi $ $cm^3$
$660\pi $ $cm^3$
$220\pi $ $cm^3$
$200\pi $ $cm^3$

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Multiple choice

A cylinder contains water to the extent of $\left (\displaystyle \frac{3}{4}\right)^{th}$ of its height. The radius and height of the cylinder are $14$ cm and $28$ cm respectively. Four solid metal sphere balls of radii $2$ cm, $4$ cm, $6$ cm and $8$ cm are dropped into the cylinder. What is the maximum raise in the height of the water level after the balls are dropped in it?

$15.55$
$2.1 $ cm
$2.72 $ cm
None of these

Reveal answer Fill a bubble to check yourself

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