Home
Class 10
MATHS
A cubical block of side 7 cm is surmount...

A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.

Text Solution

Verified by Experts

Total surface area of solid=surface area of sides+5(face area)+(face area-base of hemisphere)
=`2pir^2+5a^2+(a^2-pir^2)`
=`6a^2+pir^2`
=`2*7*7+22/7*7/2*7/2`
=`332.5 cm^2`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise EXERCISE 13.5|7 Videos

  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Solved Examples|14 Videos

  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Exercise 13.3|9 Videos

  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 14.1|9 Videos

  • TRIANGLES

    NCERT ENGLISH|Exercise Exercise 6.1|3 Videos

Similar Questions

Explore conceptually related problems

A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter of the hemisphere can have? Find the total surface area of the solid.

The decorative block shown in Fig. 13.7 is made of two solids — a cube and a hemisphere. The base of the block is a cube with edge 5 cm, and the hemisphere fixed on the top has a diameter of 4.2 cm. Find the total surface area of the block.

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter ‘l’ of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

A hemispherical depression is cut-out from one face of the cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

A toy is in the form of a cone surmounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm, respectively. Determine the surface area of the toy. (Use pi=3. 14 )

Rasheed got a playing top (lattu) as his birthday present, which surprisingly had no colour on it. He wanted to colour it with his crayons. The top is shaped like a cone surmounted by a hemisphere. The entire top is 5 cm in height and the diameter of the top is 3.5 cm. Find the area he has to colour.

A solid cube of side 12 cm is out into 8 identical cubes. What will be the side of the new cube ? Also . Find the ratio between the surface area of the original cube and the total surface area of all the small cubes formed.

Find the ratio of the surface area of a sphere and total surface area of a hemisphere.

A decorative block shown in Figure is made of two solids a cube and a hemisphere. The base of the block is a cube with edge 5 cm, and the hemisphere fixed on the top has a diameter 4.2 cm. Find the total surface area of the block (Take pi=22//7 ).

Home
Profile