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

Find the volume of a frustum cone, whose base and upper area of a circle is 20 and 80 $m^2$. The height of the cone is 45.5 m.

6,270 $m^3$
6,170 $m^3$
2,123.33 $m^3$
6,470 $m^3$

Reveal answer Fill a bubble to check yourself

Multiple choice

The base and top radius of a cone is 36 cm and 16 cm respectively. The height of the cone is 12.6 cm. What is the volume of frustum of a cone? (Use $\pi$ = 3.14).

28,064.064 cm$^3$
27,064.064 cm$^3$
26,064.064 cm$^3$
25,064.064 cm$^3$

Reveal answer Fill a bubble to check yourself

Multiple choice

A bucket is in the shape of the frustum of a right circular cone, whose radii are 5 and 10 mm. The curved surface area is $210$ mm. Find the slant height. (Use $\pi$ = $3$)

$1.76$ mm
$2.6$ mm
$3.5$ mm
$4.66$ mm

Reveal answer Fill a bubble to check yourself

Multiple choice

A flower pot in the shape of a frustum with the top and bottom circles of radii $20$ in and $10$ in. Its depth is $30$ in. Find its volume.

$7,100$ $\pi {in}^2$
$7,000$ $\pi {in}^3$
$7,0000$ $\pi {in}$
$8,500$ $\pi {in}^3$

Reveal answer Fill a bubble to check yourself

Multiple choice

Find the curved surface area of a frustum cone whose larger and smaller radius is 12 and 8 cm. The slant height is 24 cm. (Use $\pi$ = 3.14)

1,507.2 cm$^2$
1,407.2 cm$^2$
1,307.2 cm$^2$
1,207.2 cm$^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

A bucket is in the shape of the frustum with the top and bottom circle area is $250$ and $150$ $m^2$. The height of the bucket is $27$ m. Find the volume.

$2,121.60$ $m^3$
$3,410.15$ $m^3$
$5,342.76$ $m^3$
$4,320.15$ $m^3$

Reveal answer Fill a bubble to check yourself

Multiple choice

The slant height of a frustum of a flower pot is 2 mm and the perimeters of its circular ends are 12 mm and 4 mm. Find the curved surface area of the flower pot.

13.7 $mm^2$
14.7 $mm^2$
15.7 $mm^2$
16.7 $mm^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

The slant height of a frustum of a drum is 12 ft and the perimeters of its circular ends are 10 ft and 2 ft. Find the curved surface area of the drum.(Use $\pi$ = 3.14)

719.8912 $ft^2$
709.8912 $ft^2$
729.8912 $ft^2$
739.8912 $ft^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

A flower pot in the shape of a frustum with the top and bottom circles of radii $15$ cm and $10$ cm. Its depth is $36$ cm. Find the surface area.

$1,233.5$ $\pi cm^2$
$1,23.5$ $ cm^2$
$1,24.5$ $m^2$
$1,33.5$ $\pi cm^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

A vessel is in the form of a frustum of a cone. The area of the ends of the frustum cone are $122$ $cm^2$ and $205$ $cm^2$. If the curved surface area is $305$ $cm^2$. Find the total surface area.

$613$ $cm^2$
$632$ $cm^2$
$620$ $cm^2$
$640$ $cm^2$

Reveal answer Fill a bubble to check yourself

Multiple choice

If the volume of right cylinder with radius $2$ cm is $\displaystyle 100\pi\ { cm }^{ 3 }$, then the height of cylinder (in cm) is

$20$
$25$
$40$
$50$

Reveal answer Fill a bubble to check yourself

Multiple choice

The cube has volume $64$ cubic units. If a largest sphere possible that can be placed inside this cube has radius $r$, then the value of $r$ is

$2$
$\displaystyle 2\sqrt { 2 } $
$4$
$8$

Reveal answer Fill a bubble to check yourself

Multiple choice

Calculate the volume of the following cylinders. Base radius $= 5$ cm; Length $= 8$ cm $(\pi = 3. 142)$

$628.4$ cm$^3$
$728.4$ cm$^3$
$828.4$ cm$^3$
None of these

Reveal answer Fill a bubble to check yourself

Multiple choice

In a factory there are two identical solid blocks of iron. When the first block is melted and recast into spheres of equal radii 'r', then 14 cc of iron was left, but when the second block was melted and recast into sphere each of equal radii '2r', then 36 cc of iron was left. The volumes of the solid blocks and all the spheres are in integers. What is the volume of each of the larger spheres of radius '2r'?

$176$ cm$^3$
$76$ cm$^3$
$16$ cm$^3$
None of these

Reveal answer Fill a bubble to check yourself

Multiple choice

If the curved surface area of a solid sphere is $98.56{cm}^{2}$, then find the radius of the sphere.

$2.8cm$
$28cm$
$6.8cm$
None of these

Reveal answer Fill a bubble to check yourself

← Previous
1
2
…
119
120
121
122
123
124
125
126
127
…
167
168
Next →