Advertisements
Advertisements
प्रश्न
In Fig. 5, a tent is in the shape of a cylinder surmounted by a conical top of same diameter. If the height and diameter of cylindrical part are 2.1 m and 3 m respectively and the slant height of conical part is 2.8 m, find the cost of canvas needed to make the tent if the canvas is available at the rate of Rs. 500/sq. metre `( "Use "pi=22/7)`
उत्तर
For conical portion, we have
r = 1.5 m and l = 2.8 m
∴ S1 = Curved surface area of conical portion
∴ S1 = πrl
= π × 1.5 × 2.8
= 4.2π m2
For cylindrical portion, we have
r = 1.5 m and h = 2.1 m
∴ S2 = Curved surface area of cylindrical portion
∴ S2 = 2πrh
= 2 × π × 1.5 × 2.1
= 6.3π m2
Area of canvas used for making the tent =S1+S2
=4.2π + 6.3π
=10.5π
=10.5 x `22/7`
= 33 m2
Total cost of the canvas at the rate of Rs. 500 per m2 Rs.(500 x 33)=Rs.16500
APPEARS IN
संबंधित प्रश्न
Due to heavy floods in a state, thousands were rendered homeless. 50 schools collectively offered to the state government to provide place and the canvas for 1500 tents to be fixed by the governments and decided to share the whole expenditure equally. The lower part of each tent is cylindrical of base radius 2.8 cm and height 3.5 m, with conical upper part of same base radius but of height 2.1 m. If the canvas used to make the tents costs Rs. 120 per sq. m, find the amount shared by each school to set up the tents. What value is generated by the above problem? (use `pi =22/7`)
A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is `14/3` m and the diameter of hemisphere is 3.5 m. Calculate the volume and the internal surface area of the solid.
The diameter and length of a roller is 120 cm and 84 cm respectively. To level the ground, 200 rotations of the roller are required. Find the expenditure to level the ground at the rate of Rs. 10 per sq.m.
A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed.
The vertical height of a conical tent is 42 dm and the diameter of its base is 5.4 m. Find the number of persons it can accommodate if each person is to be allowed 29.16 cubic dm.
A sphere and a cube have equal surface areas. What is the ratio of the volume of the sphere to that of the cube?
A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the hemisphere is 21 cm and the total height of the vessel is 14.5 cm. Find its capacity.
A river 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km/hr. Find the amount of water (in cubic metres) that runs into the sea per minute.
Choose the correct answer of the following question:
A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is
If the radii of the ends of a bucket are 5 cm and 15 cm and it is 24 cm high, then its surface area is
