हिंदी

The Surface Area of a Sphere is 5544 `Cm^2`, Find Its Diameter. - Mathematics

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 . 

 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 21: Surface Areas and Volume of a Sphere - Exercise 21.1 [पृष्ठ ८]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 21 Surface Areas and Volume of a Sphere
Exercise 21.1 | Q 4 | पृष्ठ ८

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

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]


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

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

 


A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

`["Assume "pi = 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.


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


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


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


If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is 


If the surface area of a sphere is 144π m2, then its volume (in m3) is 


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


Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`


Find the volume of a sphere, if its surface area is 154 sq.cm.


Find the radius of the sphere whose surface area is equal to its volume .


The radius of two spheres are in the ratio of 1 : 3. Find the ratio between their volume.


A vessel is in he form of an inverted cone. Its height is 11 cm., and the radius of its top which is open is 2.5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 cm., are dropped 2 into the vessel, `2/5`th of the water flows out. Find the number of lead shots dropped into the vessel.


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×