English

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

Advertisements
Advertisements

Question

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

Options

  • 4πr2

  • 6πr2

  • 3πr2

  • 8πr2

MCQ
Fill in the Blanks
Advertisements

Solution

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

Explanation:

Because curved surface area of a hemisphere is 2πr2 and here, we join two solid hemispheres along their bases of radius r, from which we get a solid sphere.

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

shaalaa.com
  Is there an error in this question or solution?
Chapter 12: Surface Areas and Volumes - Exercise 12.1 [Page 140]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 10
Chapter 12 Surface Areas and Volumes
Exercise 12.1 | Q 15 | Page 140

RELATED QUESTIONS

The largest possible sphere is carved out of a wooden solid cube of side 7 em. Find the volume of the wood left. (Use\[\pi = \frac{22}{7}\]).


In Fig. 5, from a cuboidal solid metallic block, of dimensions 15cm ✕ 10cm ✕ 5cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block [Use

`pi=22/7`]


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.


From a solid right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.


The internal and external diameters of a hollow hemisphere vessel are 21cm and 25.2 cm The cost of painting 1cmof the surface is 10paise. Find total cost to paint the vessel all
over______?


A bucket made of aluminum sheet is of height 20cm and its upper and lower ends are of radius 25cm an 10cm, find cost of making bucket if the aluminum sheet costs Rs 70 per
100 cm2


A solid cuboid of iron with dimensions 53 cm ⨯ 40 cm ⨯ 15 cm is melted and recast into a cylindrical pipe. The outer and inner diameters of pipe are 8 cm and 7 cm respectively. Find the length of pipe.


The largest cone is curved out from one face of solid cube of side 21 cm. Find the volume of the remaining solid. 


Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?


A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is


The volume of a hemisphere is 2425 `1/2` cm. Find its curved surface area.


A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 1.5 cm and 2 cm. Find the radius of the third ball.


Water is flowing through a cylindrical pipe of internal diameter 2 cm, into a cylindrical tank of base radius 40 cm, at the rate of 0.4 m per second. Determine the rise in level of water in the tank in half an hour.


In a village, a well with 10 m inside diameter, is dug 14 m deep. Earth taken out of it is spread all around to a width 5 m to form an embankment. Find the height of the embankment. What value of the villagers is reflected here? 


A right triangle whose sides are 15 cm and 20 cm (other than hypotenuse), is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Choose value of π as found appropriate)


The shape of the gilli used in a gilli-danda game is a combination of


If the areas of three adjacent faces of a cuboid are x, y and z, respectively, the volume of the cuboid is ______.


There are two identical solid cubical boxes of side 7 cm. From the top face of the first cube a hemisphere of diameter equal to the side of the cube is scooped out. This hemisphere is inverted and placed on the top of the second cube’s surface to form a dome. Find

  1. the ratio of the total surface area of the two new solids formed
  2. volume of each new solid formed.

Tamper-proof tetra-packed milk guarantees both freshness and security. This milk ensures uncompromised quality, preserving the nutritional values within and making it a reliable choice for health-conscious individuals.

500 ml milk is packed in a cuboidal container of dimensions 15 cm × 8 cm × 5 cm. These milk packets are then packed in cuboidal cartons of dimensions 30 cm × 32 cm × 15 cm.

Based on the above-given information, answer the following questions:

i. Find the volume of the cuboidal carton. (1)

ii. a. Find the total surface area of the milk packet. (2)

OR

b. How many milk packets can be filled in a carton? (2)

iii. How much milk can the cup (as shown in the figure) hold? (1)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×