हिंदी

There is Surface Area.And Volume of Sphere Equal, Find the Radius of Sphere.

Advertisements
Advertisements

प्रश्न

There is surface area and volume of a sphere equal, find the radius of sphere.

योग
Advertisements

उत्तर

Let the radius of sphere = r
∵ Volume of sphere = Surface area of sphere
`4/3` πr3 = 4 πr2
⇒ r3 = `(4 πr^2 xx 3)/4π`

⇒ r3 = 3r2
⇒ r = 3 cm
Hence, the radius of sphere = 3 cm.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

संबंधित प्रश्न

Find the surface area of a sphere of radius 14 cm.


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`


How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm?


A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.


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:

  1. its volume,
  2. the surface area of the tunnel (excluding the floor) and
  3. its floor area.   


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?


The total surface area of a hemisphere of radius r is


The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm and the other dimensions are as shown.


Calculate :

  1. the total surface area.
  2. the total volume of the solid and
  3. the density of the material if its total weight is 1.7 kg.

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. 


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×