Advertisements
Advertisements
प्रश्न
The surface area of a sphere is 5544 `cm^2`, find its diameter.
Advertisements
उत्तर
Surface area of a sphere is 5544cm^2`
⇒`4πr^2 - 5544`
⇒`(4×22)/7 × r^2 -5544`
⇒`r^2 - (5544 × 7)/88`
⇒ r - `sqrt(21 cm × 21 cm) - sqrt ((21)^2 cm) `
⇒ r - 21 cm
Diameter = 2 (radius )
-2 (21cm)
- 42 cm .
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of diameter 14 cm.
`["Assume "pi=22/7]`
A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.
Find the surface area of a sphere of diameter 3.5 cm.
Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm.
(Use 𝜋 = 3.14)
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 number of square centimeters on the surface of a sphere is equal to the number of cubic centimeters in its volume, what is the diameter of the sphere?
Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted and recasted into a single solid sphere. Taking π = 3.1, find the surface area of the solid sphere formed.
A solid is in the form of a cone standing on a hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find, in terms of π, the volume of the solid.
Find the volume of a sphere whose surface area is 154 cm2.
If the surface area of a sphere is 144π m2, then its volume (in m3) is
The model of a building is constructed with the scale factor 1 : 30.
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m3, find the volume of the tank on the top of the model.
Find the surface area and volume of sphere of the following radius. (π = 3.14)
4 cm
If the surface area of a sphere is 2826 cm2 then find its volume. ( π= 3.14)
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.
A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm. How many containers are necessary to empty the bowl?
A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones used.
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.
