The above shape is a hollow hemisphere.
Important Questions on Mensuration
Find the total surface area of a hollow hemisphere whose outer and inner radii are cm and cm respectively
A sector containing an angle of 120 is cut off from a circle of radius 21 cm and folded into a cone. Find the curved surface area of cone. Take
Shown below is a solid sphere of radius 10 cm and its “spherical cap", which is a part of the same sphere cut by a plane. The height of the cap is 5 cm.
The curved surface area of the spherical cap is given by the formula,2πrh, where ‘r’ is the radius of the sphere and ‘h’ is the height of the cap.
The total surface area of the spherical cap is _____ sq cm.
(Note: Use $ \pi $ = 3.14)
The marriage mandap had 4 pillars as shown below with a radius of 15 units and slant height of 25 units.
The conical top was covered with golden sprinklers. For an area of 300 square units, one packet of sprinkler was enough. To cover all the 4 pillar cone tops properly, we should have _____ packets of golden sprinkler.
(Use π = 3.14)
Sheena decided to thank all her friends by giving them a thank you cone with chocolates as shown in the figure.
Each conical bag is 24 units in radius and she found the slant height of the cone to be 40 units. If she had to make 40 such cones, the minimum quantity of paper required is _____ square units.
(Use π = 3.14)
The curved surface area of a hemispherical house is 900 sq ft.
The maximum available floor area of the house is _____ sq ft.
Shown below is a snow house, also known as an igloo. The house in the picture is hemispherical, having a floor area of 250 sq ft.
The curved surface area of the house is close to _____ sq ft.
A Christmas tree can be imagined as an example for a conical object. If the height of the tree is 80 units and the slant height is 100 units, then the area of plastic sheet required to cover the tree is _____ square units.
(Use π = 3.14)
The radius of a hemisphere is 21 cm. Its surface area = _____ sq cm.
(Note: Use $ =\frac{22}{7}$ )
Shown below is a spherical shaped tent (not a hemisphere) made of canvas. Its height is 8 ft and floor radius is 12 ft.
The curved surface area of the dome is given by the formula, 2πrh, where ‘h’ is height of the dome and ‘r’ is the radius of the sphere to which the dome belongs.
The minimum area of canvas required to make the tent is _____ sq ft.
(Note: Use π=3.14; round your answer to the nearest whole number.)
Two identical, solid hemispheres of surface area 90 sq cm each are joined to form a sphere. The surface area of the sphere formed is _____sq cm.
