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Subjects
Mathematics State Board
Class 10
Mensuration
Volume of a Sphere, Hollow Sphere, Solid Hemisphere, Hollow Hemisphere and Frustum of a cone

4. Multiple choice question IV

Exercise condition:

4 m.

1. A frustum of a right circular cone is of height $16 \ cm$ with radii of its ends as $8 \ cm$ and $20 \ cm$. Then, the volume of the frustum is:

$3240 \pi \ cm^3$
$3328 \pi \ cm^3$
$3340 \pi \ cm^3$
$3228 \pi \ cm^3$

2. The volume (in $cm^3$) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius $1 \ cm$ and height $5 \ cm$ is:

$\frac{20}{3} π$
$5 \pi$
$\frac{4}{3} π$
$\frac{10}{3} π$

3. The height and radius of the cone of which the frustum is a part are $h_1$ units and $r_1$ units respectively. Height of the frustum is $h_2$ units and radius of the smaller base is $r_2$ units. If $h_2 : h_1 = 1 : 2$ then $r_2 : r_1$ is:

$1:3$
$1:2$
$3:1$
$2:1$

4. The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is:

$3 : 1 : 2$
$1 : 3 : 2$
$2 : 1 : 3$
$1 : 2 : 3$

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