हिंदी

Find the radius of a sphere whose surface area is 154 cm2. Assume [Assume π=227]

Advertisements
Advertisements

प्रश्न

Find the radius of a sphere whose surface area is 154 cm2.

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

 

योग
Advertisements

उत्तर

Let the radius of the sphere be r.

Surface area of sphere = 154

∴ 4πr= 154 cm2

r2 = `((154xx7)/(4xx22))cm^2`

= `((7xx7)/(2xx2))cm^2`

r = `(7/2) cm` = 3.5 cm

Therefore, the radius of the sphere whose surface area is 154 cm2 is 3.5 cm.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Surface Area and Volumes - EXERCISE 11.2 [पृष्ठ १४५]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 9
अध्याय 11 Surface Area and Volumes
EXERCISE 11.2 | Q 6. | पृष्ठ १४५

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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

`["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.


The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.


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 hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl. 


A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume 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.   


Find the total surface area of a hemisphere of radius 10 cm.


Find the radius of a sphere whose surface area is 154 cm2.

 

Find the volume of a sphere whose surface area is 154 cm2.

 

The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height of the cone.

 

The total surface area of a hemisphere of radius r is


A cone and a hemisphere have equal bases and equal volumes the ratio of their heights is


A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the  remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.

Give your answer correct to the nearest whole number.Taken`pi = 22/7`.


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. 


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. 


There is a ratio 1: 4 between the surface area of two spheres, find the ratio between their radius.


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 is how many times the square of its radius


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×