English

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

Advertisements
Advertisements

Question

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

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

 

Sum
Advertisements

Solution

Let the radius of the sphere be r.

Surface area of sphere = 154

∴ 4πr2 = 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
  Is there an error in this question or solution?
Chapter 11: Surface Area and Volumes - EXERCISE 11.2 [Page 145]

APPEARS IN

NCERT Mathematics [English] Class 9
Chapter 11 Surface Area and Volumes
EXERCISE 11.2 | Q 6. | Page 145

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Find the surface area of a sphere of radius 5.6 cm.


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


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


The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m. 


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?


The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate :

  1. the radius of the solid sphere.
  2. the number of cones recast. [Take π = 3.14]

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm. 


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. 


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:

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


The ratio of the total surface area of a sphere and a hemisphere of same radius is


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


Find the surface area and volume of sphere of the following radius.  (π = 3.14)

4 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 . 


From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the weight of the material drilled out if it weighs 7 gm per cm3.


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 surface area of a solid metallic sphere is 616 cm2. It is melted and recast into smaller spheres of diameter 3.5 cm. How many such spheres can be obtained?


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.


The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost to paint the vessel all over at ₹ 0.14 per cm2


A solid sphere is cut into two identical hemispheres.

Statement 1: The total volume of two hemispheres is equal to the volume of the original sphere.

Statement 2: The total surface area of two hemispheres together is equal to the surface area of the original sphere.

Which of the following is valid?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×