EASY
10th CBSE
IMPORTANT
Earn 100

The volume of a hemisphere is 242512 cm3. If its curved surface area of hemisphere is k cm2 then write the value of k. (Use π=22/7)

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Important Questions on Surface Areas and Volumes

HARD
10th CBSE
IMPORTANT
The difference between the outer and inner curved surface areas of a hollow right circular cylinder 14 cm long is 88 cm2. If the volume of metal used in making the cylinder is 176 cm3, find the outer and inner diameters of the cylinder. If width of the right circular cylindrical ends is w cm then write w(Use π=22 / 7)
MEDIUM
10th CBSE
IMPORTANT

The internal and external diameters of a hollow hemispherical vessel are 21 cm and 25.2 cm, respectively. The cost of painting 1 cm2 of the surface is 10 paise. If the total cost to paint the vessel all over is k, then write the value of k rounded off to two decimal places. (Use π=22/7)

EASY
10th CBSE
IMPORTANT
Prove that the surface area of a sphere is equal to the curved surface area of the circumscribed cylinder.
EASY
10th CBSE
IMPORTANT

Total surface area of a solid hemisphere is 462 cm2, and if its volume is k cm3, then find the value of k rounded off to two decimal places.(Use π=22/7)

MEDIUM
10th CBSE
IMPORTANT
Water flows at the rate of 10 metre/minute  through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel whose diameter at the base is 40 cm and depth 24 cm? If it take x minutes and y seconds and k=x+y then find the value of k.
MEDIUM
10th CBSE
IMPORTANT
A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is equal to the radius of the cone. If it is k m3 then find the value of k rounded off to two decimal places. (Use π=22/7)
MEDIUM
10th CBSE
IMPORTANT
A heap of rice in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of rice. How much canvas cloth is required to cover the heap? If the curved surface area of cone is k cm2 then find the value of k rounded off to two decimal places. (Use π=22/7)
EASY
10th CBSE
IMPORTANT
A cylindrical bucket of height 32 cm and base radius 18 cm is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed, If the height of the conical heap is 24 cm, find the radius of the heap. If its slant height is l cm then find the value of l rounded off to two decimal places.