Advertisements
Advertisements
प्रश्न
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
उत्तर
Let r be the radius of the bowl.
∴ 2πr = 198
`=> r = (198 xx 7)/(2 xx 22)`
`=>` r = 31.5 cm
Capacity of the bowl
= `2/3pir^3`
= `2/3 xx 22/7 xx (31.5)^3`
= 65488.5 cm3
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of diameter 3.5 m.
`["Assume "pi=22/7]`
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
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.
Find the surface area of a sphere of radius 14 cm.
Find the surface area of a sphere of diameter 21 cm .
Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm.
(Use 𝜋 = 3.14)
The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of
painting it at the rate of Rs. 2 per sq. m.
The diameter of the moon is approximately one fourth of the diameter of the earth. Find the
ratio of their surface areas.
A spherical ball of lead has been melted and made into identical smaller balls with radius equal to half the radius of the original one. How many such balls can be made?
The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their :
- radii,
- surface areas.
If a sphere is inscribed in a cube, find the ratio of the volume of cube to the volume of the sphere.
The total surface area of a hemisphere of radius r is
The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metre.
Find the radius of the sphere whose surface area is equal to its volume .
How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?
The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate : the number of cones recast. `("Take" pi =22/7)`
Find the volume and surface area of a sphere of diameter 21 cm.
A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of the balls are 1.5 cm and 2 cm. Find the diameter of the third ball.
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is ______.