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.
संबंधित प्रश्न
A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of ₹ 16 per 100 cm2.
`["Assume "pi=22/7]`
A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base
of the cone is 16 cm and its height is 15 cm. Find the cost of painting the toy at Rs. 7 per 100
`cm^2`.
A hemi-spherical dome of a building needs to be painted. If the circumference of the base of
the dome is 17.6 cm, find the cost of painting it, given the cost of painting is Rs. 5 per l00
`cm^2`
A sphere and a cube are of the same height. The ratio of their volumes is
If the surface area of a sphere is 144π m2, then its volume (in m3) is
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )
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 weight of the material drilled out if it weighs 7 gm per cm3.
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?
