Advertisements
Advertisements
рдкреНрд░рд╢реНрди
The circumference of the base of a 10 m height conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use it ЁЭЬЛ= 22/7).
рдЙрддреНрддрд░
WKT, CSA of cone = `pirl`
Given circumference=`2pir`
⇒` 2xx22/7xxr=44⇒ r/7=1⇒ r=7m`
`∴ L= sqrt(r^2+h^2)=sqrt(7^2+10^2)=sqrt149m`
`∴ CSA of tent=pirl=22/7xxsqrt149=22sqrt149`
∴ The length of can vas used in making tent
`="Area of canvas"/"width of canvas"`
`22sqrt149/2=11sqrt49`
= 134.2m
APPEARS IN
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНтАНрди
Find the curved surface area of a cone, if its slant height is 60 cm and the radius of its base is 21 cm.
Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.
The radius and the height of a right circular cone are in the ratio 5 : 12. If its volume is 314 cubic meter, find the slant height and the radius (Use it ЁЭЬЛ = 3.14).
Find the volume of a cone whose slant height is 17 cm and radius of base is 8 cm.
Find what length of canvas, 1.5 m in width, is required to make a conical tent 48 m in diameter and 7 m in height. Given that 10% of the canvas is used in folds and stitchings. Also, find the cost of the canvas at the rate of Rs. 24 per metre.
Total volume of three identical cones is the same as that of a bigger cone whose height is 9 cm and diameter 40 cm. Find the radius of the base of each smaller cone, if height of each is 108 cm
A solid metallic cone, with radius 6 cm and height 10 cm, is made of some heavy metal A. In order to reduce its weight, a conical hole is made in the cone as shown and it is completely filled with a lighter metal B. The conical hole has a diameter of 6 cm and depth 4 cm. Calculate the ratio of the volume of metal A to the volume of the metal B in the solid.
A solid, consisting of a right circular cone standing one a hemisphere, is placed upright in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of
the hemisphere is 2 cm and the height of cone is 4 cm. Give your answer to the nearest cubic centimeter.
Volume of a cone is 1232 cm3 and its height is 24 cm. Find the surface area of the cone. `( π = 22/7)`
A conical tent is accommodate to 11 persons each person must have 4 sq. metre of the space on the ground and 20 cubic metre of air to breath. Find the height of the cone.
