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Free CBSE - Class 9 Mathematics - Surface Area and Volumes worksheets

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1.
Find the capacity in litres of a conical vessel with (i) radius $7$ cm, slant height $25$ cm
2.
The height of a cone is $15$ cm. If its volume is $1570$ cm$^3$, find the radius of the base. (Use $\pi = 3.14$)
3.
If the volume of a right circular cone of height $9$ cm is $48 \pi$ cm$^3$, find the diameter of its base.
4.
A conical pit of top diameter $3.5$ m is $12$ m deep. What is its capacity in kilolitres?
5.
The volume of a right circular cone is $9856$ cm$^3$. If the diameter of the base is $28$ cm, find (i) height of the cone
6.
The volume of a right circular cone is $9856$ cm$^3$. If the diameter of the base is $28$ cm, find (ii) slant height of the cone
7.
The volume of a right circular cone is $9856$ cm$^3$. If the diameter of the base is $28$ cm, find (iii) curved surface area of the cone
8.
A right triangle ABC with sides $5$ cm, $12$ cm and $13$ cm is revolved about the side $12$ cm. Find the volume of the solid so obtained.
9.
If the triangle ABC in the Question 7 above is revolved about the side $5$ cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Questions 7 and 8.
10.
A capsule of medicine is in the shape of a sphere of diameter $3.5$ mm. How much medicine (in mm$^3$) is needed to fill this capsule?
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