MEDIUM
10th CBSE
IMPORTANT
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The volume of a hemisphere is . Find its curved surface area.
If the required answer is of the form , what is the value of ?
(Use )

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Important Questions on Volume and Surface Areas of Solids
MEDIUM
10th CBSE
IMPORTANT
If the total surface area of a solid hemisphere is , then find its volume. (Use: )
If the required answer is of the form , what is the value of ?

MEDIUM
10th CBSE
IMPORTANT
A -wide cloth is used to make a conical tent of base diameter and height . Find the cost of cloth used at the rate of per metre.
If the required answer is , then what is the value of ? (Use: )

MEDIUM
10th CBSE
IMPORTANT
The radius and height of a right circular cone are in the ratio . If its volume is , find the total surface area [Take ]
If the required answer is of the form , what is the value of ?

MEDIUM
10th CBSE
IMPORTANT
If the volumes of two cones are in the ratio of and their diameters are in the ratio of , find the ratio of their heights.
If the answer is of the simplest form , then what is the value of ?

MEDIUM
10th CBSE
IMPORTANT
The slant height of a conical mountain is and the area of its base is . Find the height of the mountain.
If the required answer is of the form , what is the value of ?

MEDIUM
10th CBSE
IMPORTANT
The sum of the radius of the base and the height of a solid cylinder is metres. If the total surface area of the cylinder be metres, find its volume.
If the required answer is of the form , what is the value of ?

MEDIUM
10th CBSE
IMPORTANT
The surface area of a sphere is . If its radius be doubled, then what will be the surface area of the new sphere?
If the required answer is of the form , what is the value of ?

HARD
10th CBSE
IMPORTANT
A military tent of height is in the form of a right circular cylinder of base diameter and height surmounted by a right circular cone of same base radius. Find the length of canvas used in making the tent, if the breadth of the canvas is .
If the required answer is of the form , what is the value of ?
