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Surface Area and Volumes EXERCISE 11.3 Solutions
- Q1(i): Find the volume of the right circular cone with (i) radius $6$ cm, height $7$ cm
- Q1(ii): Find the volume of the right circular cone with (ii) radius $3.5$ cm, height $12$ cm
- Q2(i): Find the capacity in litres of a conical vessel with (i) radius $7$ cm, slant height $25$ cm
- Q2(ii): Find the capacity in litres of a conical vessel with (ii) height $12$ cm, slant height $13$ cm
- Q3: The height of a cone is $15$ cm. If its volume is $1570$ cm$^3$, find the radius of the base. (Use $\pi = 3.14$)
- Q4: If the volume of a right circular cone of height $9$ cm is $48 \pi$ cm$^3$, find the diameter of its base.
- Q5: A conical pit of top diameter $3.5$ m is $12$ m deep. What is its capacity in kilolitres?
- Q6(i): 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
- Q6(ii): 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
- Q6(iii): 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
- Q7: 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.
- Q8: 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.
- Q9: A heap of wheat is in the form of a cone whose diameter is $10.5$ m and height is $3$ m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
Other Exercises for CBSE - Class 9 Mathematics Surface Area and Volumes
Chapters in CBSE - Class 9 Mathematics
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