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Surface Area and Volumes EXERCISE 11.1 Solutions
- Q1: Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.
- Q2: Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.
- Q3(i): Curved surface area of a cone is $308$ cm$^2$ and its slant height is $14$ cm. Find (i) radius of the base
- Q3(ii): Curved surface area of a cone is $308$ cm$^2$ and its slant height is $14$ cm. Find (ii) total surface area of the cone.
- Q4(i): A conical tent is $10$ m high and the radius of its base is $24$ m. Find (i) slant height of the tent.
- Q4(ii): A conical tent is $10$ m high and the radius of its base is $24$ m. Find (ii) cost of the canvas required to make the tent, if the cost of $1$ m$^2$ canvas is ₹ 70.
- Q5: What length of tarpaulin $3$ m wide will be required to make conical tent of height $8$ m and base radius $6$ m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately $20$ cm (Use $\pi = 3.14$).
- Q6: The slant height and base diameter of a conical tomb are $25$ m and $14$ m respectively. Find the cost of white-washing its curved surface at the rate of ₹ $210$ per $100$ m$^2$.
- Q7: A joker’s cap is in the form of a right circular cone of base radius $7$ cm and height $24$ cm. Find the area of the sheet required to make $10$ such caps.
- Q8: A bus stop is barricaded from the remaining part of the road, by using $50$ hollow cones made of recycled cardboard. Each cone has a base diameter of $40$ cm and height $1$ m. If the outer side of each of the cones is to be painted and the cost of painting is ₹ $12$ per m$^2$, what will be the cost of painting all these cones? (Use $\pi = 3.14$ and take $\sqrt{1.04} = 1.02$)
Other Exercises for CBSE - Class 9 Mathematics Surface Area and Volumes
Chapters in CBSE - Class 9 Mathematics
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