हिंदी

A Cylinder of Same Height and Radius is Placed on the Top of a Hemisphere. Find the Curved Surface Area of the Shape If the Length of the Shape Be 7 Cm. - Mathematics

Advertisements
Advertisements

प्रश्न

A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved
surface area of the shape if the length of the shape be 7 cm.

Advertisements

उत्तर

Given length of the shape - 7cm 

But length -r +r                     

⇒ 2r -7 cm 

⇒ r - `7/2` cm 

⇒ r-3.5 cm 

Also : h - r 

Total S.A of shape - `2πrh + 2πr^2 - 2πr × r +2πr^2`

- `2πr^2 + 2πr^2`

- `4 πr^2`

- `4× 22/7 ×  (3.5)^2`

-154`cm^2` 

 

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 8 | पृष्ठ ८

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Find the surface area of a sphere of radius 10.5 cm.

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


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

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


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

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

 


Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.


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 5.6 cm.


The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their :

  1. radii,
  2. surface areas. 

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.


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. 


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?


If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) is


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


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


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


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?


The radius of a sphere increases by 25%. Find the percentage increase in its surface area


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×