English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If two solid hemispheres of same base radius r units are joined together along with their bases, then the curved surface area of this new solid is ______ - Mathematics

Advertisements
Advertisements

Question

If two solid hemispheres of same base radius r units are joined together along with their bases, then the curved surface area of this new solid is ______.

Options

  • 4πr2 sq.units

  • 6πr2 sq.units

  • 3πr2 sq.units

  • 8πr2 sq.units

MCQ
Fill in the Blanks

Solution

If two solid hemispheres of same base radius r units are joined together along with their bases, then the curved surface area of this new solid is 4πr2 sq.units.

Explanation:

Because a hemisphere's curved surface area is, we unite two solid hemispheres along their bottoms of radii r to form a solid sphere.

Hence the curved surface area of new solid = 2πr2 + 2πr2 = 4πr2

shaalaa.com
Surface Area and Volume of Different Combination of Solid Figures
  Is there an error in this question or solution?
Chapter 7: Mensuration - Exercise 7.5 [Page 297]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 7 Mensuration
Exercise 7.5 | Q 2 | Page 297

RELATED QUESTIONS

The dimensions of a cuboid are 44 cm, 21 cm, 12 cm. It is melted and a cone of height 24 cm is made. Find the radius of its base.


A cylinder and a cone have equal bases. The height of the cylinder is 3 cm and the area of its base is 100 cm2. The cone is placed upon the cylinder. The volume of the solid figure so formed is 500 cm3. Find the total height of the figure.


In the given figure shows a toy. Its lower part is a hemisphere and the upper part is a cone. Find the volume and surface area of the toy from the measures shown in the figure (\[\pi = 3 . 14\])


A cylindrical bucket of diameter 28 cm and a height of 20 cm was full of sand. When the sand in the bucket was poured on the ground, the sand got converted into a shape of a cone. If the height of the cone was 14 cm, what was the base area of the cone?


A solid consisting of a right circular cone of height 12 cm and radius 6 cm standing on a hemisphere of radius 6 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of the water displaced out of the cylinder, if the radius of the cylinder is 6 cm and height is 18 cm


As shown in the figure a cubical block of side 7 cm is surmounted by a hemisphere. Find the surface area of the solid.


A right circular cylinder just encloses a sphere of radius r units. Calculate the surface area of the sphere


A right circular cylinder just encloses a sphere of radius r units. Calculate the curved surface area of the cylinder


A right circular cylinder just encloses a sphere of radius r units. Calculate the ratio of the areas of the sphere and cylinder


Find volume of solid generated by revolving parabola y2. = 4ax, cut of by latus rectum, about tangent at vertex.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×