Home
Class 10
MATHS
A hemispherical depression is cut out fr...

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the edge of the cube. Determine the 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 GUJARATI|Exercise Exercise 10.3|7 Videos

  • MENSURATION

    NCERT GUJARATI|Exercise Exercise 10.4|8 Videos

  • MENSURATION

    NCERT GUJARATI|Exercise Exercise 10.1|9 Videos

  • COORDINATE GEOMETRY

    NCERT GUJARATI|Exercise TRY THIS|10 Videos

  • POLYNOMIALS

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

Similar Questions

Explore conceptually related problems

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.

The diameter of a solid hemisphere is 7 cm. Find its total surface area.

A toy is in form of a cone mounted on a hemisphere on the same diameter . 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 ]

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

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

A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube ? Also, find the ratio between their surface areas.

From a cuboidal solid metallic block of dimensions 15 cm xx 10 cm xx 5 cm a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block. (see the given figure).

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm^(2) .

From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm^(2) .