(D) When a cone is cut by a plane parallel to its base,it is divided into two parts: a smaller cone at the top and a remaining part at the bottom. The

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(D) When a cone is cut by a plane parallel to its base,it is divided into two parts: a smaller cone at the top and a remaining part at the bottom. The remaining part,which has two circular bases of different radii,is known as the frustum of a cone.

Class 10 Mathematics Surface Areas and Volumes Mix Examples - Surface Areas and Volumes

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$A$ cone is cut by a plane parallel to its base and the smaller cone formed on the upper side of the plane is removed. The remaining part on the other side of the plane is called:

A
sphere
B
cylinder
C
cone
D
a frustum of a cone

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Surface Areas and Volumes

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Mix Examples - Surface Areas and Volumes

The diameters of a frustum of a cone are $32 \,cm$ and $20 \,cm$. If its height is $8 \,cm$,find its curved surface area and volume. $(\pi = 3.14)$

Medium

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Write 'True' or 'False' and justify your answer:
$A$ spherical steel ball is melted to make eight new identical balls. Then,the radius of each new ball is $\frac{1}{8}$th the radius of the original ball.

Easy

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Water is flowing at the rate of $15\, km/h$ through a pipe of diameter $14\, cm$ into a cuboidal pond which is $50\, m$ long and $44\, m$ wide. In what time will the level of water in the pond rise by $21\, cm$? (in $h$)

Medium

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How many spherical lead shots,each of diameter $4.2 \, cm$,can be obtained from a solid rectangular lead piece with dimensions $66 \, cm \times 42 \, cm \times 21 \, cm$?

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$A$ cylinder with radius $21 \, cm$ and height $18 \, cm$ is closed at both the ends by hemispheres. Find the surface area of this article. $(\pi = \frac{22}{7})$ (in $cm^2$)

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$A$ cone is cut by a plane parallel to its base and the smaller cone formed on the upper side of the plane is removed. The remaining part on the other side of the plane is called:

Similar Questions

The diameters of a frustum of a cone are $32 \,cm$ and $20 \,cm$. If its height is $8 \,cm$,find its curved surface area and volume. $(\pi = 3.14)$

Write 'True' or 'False' and justify your answer:$A$ spherical steel ball is melted to make eight new identical balls. Then,the radius of each new ball is $\frac{1}{8}$th the radius of the original ball.

Water is flowing at the rate of $15\, km/h$ through a pipe of diameter $14\, cm$ into a cuboidal pond which is $50\, m$ long and $44\, m$ wide. In what time will the level of water in the pond rise by $21\, cm$? (in $h$)

How many spherical lead shots,each of diameter $4.2 \, cm$,can be obtained from a solid rectangular lead piece with dimensions $66 \, cm \times 42 \, cm \times 21 \, cm$?

$A$ cylinder with radius $21 \, cm$ and height $18 \, cm$ is closed at both the ends by hemispheres. Find the surface area of this article. $(\pi = \frac{22}{7})$ (in $cm^2$)

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Write 'True' or 'False' and justify your answer:
$A$ spherical steel ball is melted to make eight new identical balls. Then,the radius of each new ball is $\frac{1}{8}$th the radius of the original ball.