HARD
10th CBSE
IMPORTANT
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A cylindrical vessel, having diameter equal to its height, is full of milk. It is poured into two identical cylindrical vessels with diameter 42 cm and height 21 cm. These vessels are filled completely. Find the diameter of the cylindrical vessel.

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Important Questions on Surface Areas & Volumes

HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 8
A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone of height 5 cm mounted on a hemisphere of common diameter 5 cm is immersed into the tub, find the volume of water left in the tub.
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 9
Water in a canal 1.5 m wide and 6 m deep is flowing with a speed of 10 km/h. If water will it irrigate an area of k m2 in 30 minutes, find k. (8 cm of standing water is desired.)
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 10
Water is flowing at rate of 3 km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time, will the cistern be filled?
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 11
Water flows at rate of 2 km/h through a circular pipe of 14 cm internal diameter into a cistern 1.1×3.5×4 m3. How long would it take to fill the cistern? Write the answer in min.
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 12
Water flows at the rate of 10 metres per minute through a cylindrical pipe 5 mm in diameter. How long would it take to fill a conical vessel having base diameter of 42 cm and depth of 24 cm? Write the answer in min
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 13
Water flows at the rate of 10 m/min 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?
 
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 14
What length of a solid cylinder 2 cm in diameter must be taken to recast into a pipe of length 16 cm, external diameter 20 cm and thickness 2.5 mm?
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 13 - Surface Areas & Volumes>EXERCISE>Q 15
A cylindrical vessel, 16 cm high and 9 cm of radius of the base, is filled with sand. This vessel is emptied on a marble floor and a conical heap is formed. If the height of conical heap is 12 cm. Find the radius and slant height of the heap.