Advertisements
Advertisements
प्रश्न
A conical tent is to accommodate 77 persons. Each person must have 16 m3 of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.
Advertisements
उत्तर
According to the condition in the question,
`77 xx 16 = 1/3 pir^2h`
`=> 77 xx 16 = 1/3 xx 22/7 xx 7 xx 7 xx h`
`=> h = (77 xx 16 xx 3 xx 7)/(22 xx 7 xx 7)`
`=> h = (11 xx 16 xx 3)/22`
`=>` h = 24 m
We know that,
l2 = r2 + h2
`=>` l2 = (7)2 + (24)2
`=>` l2 = 49 + 576
`=>` l2 = 625
`=>` l = 25 m
∴ Curved Surface Area = πrl
= `22/7 xx 7 xx 25`
= 550 m2
Therefore the height of the tent is 24 m and it curved surface area is 550 m2.
APPEARS IN
संबंधित प्रश्न
The surface area of a sphere is 5544 `cm^2`, find its diameter.
The surface area of a solid sphere is increased by 12% without changing its shape. Find the percentage increase in its:
- radius
- volume
A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast.
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height of the cone.
The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find volume of material of the vessel.
From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the volume of remaining solid
A solid, consisting of a right circular cone standing on 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 the cone is 4 cm. Give your answer to the nearest cubic centimetre.
The radius of two spheres are in the ratio of 1 : 3. Find the ratio between their volume.
How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?
