Advertisements
Advertisements
Question
A tent of height 8.25 m is in the form of a right circular cylinder with diameter of base 30 m and height 5.5 m, surmounted by a right circular cone of the same base. Find the cost of the canvas of the tent at the rate of Rs 45 per m2.
Solution
`l = sqrt((2.75)^2) + (15)^2`
`l = sqrt(232.5625)`
`= 15 .25`
Total surface area of the tent
`=2 pirh + pirl`
`=pir(2h + l)`
`=22/7 xx 15[2 xx 5 -5 + 15.25]`
`= (330 xx 26.25)/7`
`=1237.5`
Therefore,
Cost of the canvas of the tent
`=1237.5 xx 45`
`= "Rs . 55687.50"`
APPEARS IN
RELATED QUESTIONS
Find the weight of a hollow sphere of metal having internal and external diameters as 20 cm and 22 cm, respectively if 1m3 of metal weighs 21g.
A sphere of radius 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8 cm. If the sphere is submerged completely, then the surface of the water rises by
If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is
The curved surface area of a cylinder is 264 m2 and its volume is 924 m3. The ratio of its diameter to its height is
The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is
The surface area of a sphere is 2464 cm2. If its radius be doubled, then what will be the surface area of the new sphere?
In a corner of a rectangular field with dimensions 35m × 22 m, a well with 14 m inside diameter is dug 8 m deep. The earth dug out is spread evenly over the remaining part of the field. Find the rise in the level of the field.
The slant height of the frustum of a cone is 4 cm and the perimeters (i.e. circumferences) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.
A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank which is 10 m in diameter and 2 m deep. If the water flows through the pipe at the rate of 4 km/hr, then in how much time will the tank be filled completely?
A rectangular examination hall having seats for 500 candidates has to be built so as to allow 4 cubic metres of air and 0.5 square metres of floor area per candidate. If the length of hall be 25 m, find the height and breadth of the hall.
