English

Find the surface area of a sphere of diameter 21 cm. - Mathematics

Advertisements
Advertisements

Question

Find the surface area of a sphere of diameter 21 cm.

Sum
Advertisements

Solution

Diameter = 21cm

Radius = `"diameter "/ 2 - 21/2 - 10.5cm`

∴ Surface area - `4πr^2 - 4π × (10.5)^2 - 4 × 22/7 × 10.5^2 - 1386 cm^2`

shaalaa.com
  Is there an error in this question or solution?
Chapter 21: Surface Areas and Volume of a Sphere - Exercise 21.1 [Page 8]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 21 Surface Areas and Volume of a Sphere
Exercise 21.1 | Q 2.2 | Page 8
Nootan Mathematics [English] Class 10 ICSE
Chapter 17 Mensuration
Exercise 17C | Q 2. (ii) | Page 390

RELATED QUESTIONS

Find the surface area of a sphere of diameter 3.5 m.

`["Assume "pi=22/7]`


Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]


The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.


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]`


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:

  1. the radius of the sphere.
  2. the number of cones recast. (Take π = `22/7`)

A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed.


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`.


The surface area of a sphere is 2464 cm2, find its volume. 


The volume of a sphere is 38808 cm3; find its diameter and the surface area.


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?


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 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. 


A hollow sphere of internal and external diameter 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone. 


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.


Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.


The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be


If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube 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. 


If the surface area of a sphere is 2826 cmthen find its volume. ( π= 3.14)


Find the length of the wire of diameter 4 m that can be drawn from a solid sphere of radius 9 m. 


Find the radius of a sphere whose surface area is equal to the area of the circle of diameter 2.8 cm 


A solid metallic cylinder has a radius of 2 cm and is 45 cm tall. Find the number of metallic spheres of diameter 6 cm that can be made by recasting this cylinder . 


Find the volume of the hollow sphere whose inner diameter is 8 cm and the thickness of the material of which it is made is 1 cm . 


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. 


The volume of a sphere is 905 1/7 cm3, find its diameter.


The radius of a sphere is 10 cm. If we increase the radius 5% then how many % will increase in volume?


The cylinder of radius 12 cm have filled the 20 cm with water. One piece of iron drop in the stands of water goes up 6.75 cm. Find the radius of sphere piece.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×