Advertisements
Advertisements
प्रश्न
Find the radius of a sphere whose surface area is 154 cm2.
Advertisements
उत्तर
In the given problem, we have to find the radius of a sphere whose surface area is given.
Surface area of the sphere (S) = 154 cm2
Let the radius of the sphere be r cm
Now, we know that surface area of the sphere = `4pi r^2`
So,
`154=4(22/7)(r)^2`
`r^2 = ((154)(7))/((4)(22))`
`r^2 = 12.25`
Further, solving for r
`r = sqrt(12.25)`
r = 3.5
Therefore, the radius of the given sphere is 3.5 cm .
APPEARS IN
संबंधित प्रश्न
Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]
The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.
A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.
`["Assume "pi = 22/7]`
Find the surface area of a sphere of radius 14 cm.
Find the surface area of a sphere of diameter 14 cm.
Find the surface area of a sphere of diameter 21 cm.
Find the surface area of a sphere of diameter 3.5 cm.
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.
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`
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 hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
The cross-section of a tunnel is a square of side 7 m surmounted by a semi-circle as shown in the adjoining figure. The tunnel is 80 m long.
Calculate:
- its volume,
- the surface area of the tunnel (excluding the floor) and
- its floor area.

A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
If the surface area of a sphere is 144π m2, then its volume (in m3) is
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
9 cm
A sphere has the same curved surface area as the curved surface area of a cone of height 36 cm and base radius 15 cm . Find the radius of the sphere .
There is surface area and volume of a sphere equal, find the radius of sphere.
The radius of a sphere increases by 25%. Find the percentage increase in its surface area
