Advertisements
Advertisements
प्रश्न
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
Advertisements
उत्तर
Let edge of the cube = a
Volume of the cube = a × a × a = a3
The sphere, which exactly fits in the cube, has radius = `a/2`
Therefore, volume of sphere = `4/3pir^3`
= `4/3 xx 22/7 xx (a/2)^3`
= `4/3 xx 22/7 xx a^3/8`
= `11/21 a^3`
Volume of cube : Volume of sphere
= `a^3 : 11/21 a^3`
= `1 : 11/21`
= 21 : 11
APPEARS IN
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]`
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 cylinder of same height and radius is placed on the top of a hemisphere. Find the curved
surface area of the shape if the length of the shape be 7 cm.
The surface area of a sphere is 2464 cm2, find its volume.
If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
3.5 cm
If the radius of a solid hemisphere is 5 cm, then find its curved surface area and total surface area. ( π = 3.14 )
Find the radius of a sphere whose surface area is equal to the area of the circle of diameter 2.8 cm
Find the radius of the sphere whose surface area is equal to its volume .
The total surface area of a hemisphere is how many times the square of its radius
