EASY
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Find the Total surface area of a hollow hemisphere whose outer and inner radii are given as  4·2 cm and1·4 cm respectively.

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Important Questions on Area and Volume of Solids

MEDIUM
The slant height of a bucket is 26 cm. The diameter of upper and lower circular ends are 36 cm and16 cm . The height of the bucket is
MEDIUM
If a cone of height 24 cm and base 6 cm melted and reshape into a sphere. Then what will be the total surface area of sphere
EASY
A cloth of 3 m width is used to make a conical tent 12 m in diameter with a slant height of 7 m. What is the length of the cloth? Take π=227
MEDIUM
A solid metallic sphere of radius 6 cm is melted and made into a solid cylinder of height 32 cm. Find the radius of the cylinder.
MEDIUM
A bucket is in the form of a frustum of a cone and it can holds 28.49 litres of water. The radii of the top and bottom of the bucket are 28 cm and 21 cm respectively. Then slant height of the bucket is (use π=227)
EASY
By melting a solid sphere of radius 5cm a solid right circular cone of the same circular base is made. The height of the cone is
HARD
An iron rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness, then the radius of the wire will be :
HARD
A conical vessel of radius 6 cm and height 8 cm is completely filled with water. A metal sphere is lowered into the water. The size of the sphere is such that when it touches the inner surface, it just gets immersed. Then, the fraction of water that overflows from the conical vessel is
HARD
A solid metallic cylinder of height 10 cm and diameter 14 cm is melted to make two cones in the proportion of their volumes as 3:4, keeping the height 10 cm, what would be the percentage increase in the flat surface area?
EASY

Find the total surface area of a hollow hemisphere whose outer and inner radii are 4.2 cm and 2.1cm respectively

EASY
The outer radius of a hollow hemisphere is 7 m and its inner radius is 3.5 m. Find the curved surface area of the hollow hemisphere.
EASY
The outer radius of a hollow hemisphere is 14 cm and its inner radius is 7 cm. Find the curved surface area of the hollow hemisphere.
MEDIUM
The radius of base and height of a solid hemisphere and cylinder are equal. Find the ratio of their whole surfaces.
MEDIUM

Choose the correct answer:

If the curved surface area of a hemisphere is 308 sq. cm, then its diameter will be _____.

EASY
The outer radius of a hollow hemisphere is 21 m and its inner radius is 14 m. The curved surface area of the hollow hemisphere is 1541 m2Use π=227
MEDIUM
The radius of a solid hemisphere is 3.5 units. Then the ratio of the numerical value of its volume and area of whole surface will be
EASY

The outer radius of a hollow hemisphere is twice its inner radius. The outer radius of another hollow hemisphere is thrice its inner radius. Find the ratio of the curved surface area of the hollow hemispheres in which the outer radius of the hollow hemisphere is twice its inner radius to hollow hemisphere in which the outer radius of the hollow hemisphere is thrice its inner radius.

EASY
The outer radius of a hollow hemisphere is twice its inner radius and the outer radius of the hollow hemisphere is 4 cm. Find the total surface area of the hollow hemispheres in which the outer radius of the hollow hemisphere is twice its inner radius to hollow hemisphere in which the outer radius of the hollow hemisphere is thrice its inner radius.
EASY

Write the quadrants in which the following points lie:

-4,7

HARD
A right circular room with a hemispherical roof can contain 5236 cc of air. If the diameter of the inside room is equal to the maximum height from floor to roof, then what is the maximum height of the room? (π=3.1416).