Home
Class 10
MATHS
A hemisphere is cut from one face of a c...

A hemisphere is cut from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the side of the cube. Determine the total surface area of the remaining solid.

Text Solution

Verified by Experts

The correct Answer is:
`x^2 ( (pi)/(4)) ` sq. units
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    NCERT BANGLISH|Exercise Exercise 10.3|7 Videos

  • MENSURATION

    NCERT BANGLISH|Exercise Exercise 10.4|8 Videos

  • MENSURATION

    NCERT BANGLISH|Exercise Exercise 10.1|9 Videos

  • COORDINATE GEOMETRY

    NCERT BANGLISH|Exercise TRY THIS|15 Videos

  • POLYNOMIALS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE [For extensive learning]|6 Videos

Similar Questions

Explore conceptually related problems

If the volume of a cube is V cubic unit, then the total surface area of it is

If the diameter of the base of a solid hemisphere is 4d unit. Then the area of whole surface of the hemisphere is

The volume of a solid hemisphere and its curved surface are numarically equal, then the diameter of the hemisphere is

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm and its radius of the base is of 3.5 cm, find the total surface area of the article .

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

Write whether the following statements are true or false : (ii) The radius of base , height and slant height of a solid right circular cone are r unit h unit and l unit respectively . The base of the cone is joint along the base of solid right circular cylinder. If the radii of the bases and heights of the cylinder and of the cone be equal , then the total surface area of the joint solid object will be (pirl + 2pirh +2 pir^(2)) sq - unit

What will be the ratio of the volumes of a sphere and a cube if their total surface areas are equal ?

If the length of the side of a cube be doubled, then how many percentage of the total surface area of the cube will be invreased ?

Find the total Surface area and lateral surface area of the Cube with side 4 cm.

A right circular cone is made by cutting a cubical wooden block of side 9 cm each , then what will be the greatest volume of the cone ?