EASY
10th CBSE
IMPORTANT
Earn 100

Prove that the surface area of a sphere is equal to the curved surface area of the circumscribed cylinder.

Important Questions on Surface Areas and Volumes

EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 65

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
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 66
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
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 67
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
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 68
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
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 69
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.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 70
A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 71
A factory manufactures 120,000 pencils daily. The pencil are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at ₹0.05 per dm2.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 72
The 34th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.