A cylindrical water tank has a base radius of 7 m and a height of 10 m. Water is filled into the tank at a constant rate. After filling the tank completely, 5% of the water leaks out due to a crack at the bottom. The remaining water is transferred into another cylindrical tank whose base radius is 5 m. Find the height of water in the second tank.
Given
Tank 1: radius = 7 m, height = 10 m
Water leakage = 5%
Tank 2: radius = 5 m
Formula Used
Volume of cylinder =
Solution
Initial Volume of Tank 1 =
Water remaining after 5% leak =
Remaining Volume =
Let the height of water in the second tank be h.
Volume of water in Tank 2 =
h = m
Final Answer
So the correct answer is (c)
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90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe radii of two cylinders are in the ratio 2: 3 and their heights are in the ratio of 5: 3. The ratio of their volumes is
The radius of a road roller is 1 m , and its length is 21/22 m. When it is rolled on the ground, it takes 600 rolls to level the entire groun(d) However, it was found that on 10% of the ground, the roller rolled twice. What is the total area (in sq.m) of the ground? (Use π=22/7, and round off your answer to two decimal places)
The circumference of the base of a solid right circular cylinder is 88 cm and its height is 153 cm. What is the volume (in cm³ ) of the cylinder? (Take π = 22/7)
A cylindrical water tank has a base radius of 7 m and a height of 10 m. Water is filled into the tank at a constant rate. After filling the tank completely, 5% of the water leaks out due to a crack at the bottom. The remaining water is transferred into another cylindrical tank whose base radius is 5 m. Find the height of water in the second tank.
If the volume of a cone is 48π and the height is 10 cm . Find the radius of its base in nearest one decimal place.
The curved surface area of a cylinder having radius 5 cm and height 23 cm is:
Water flows out through a pipe, whose internal radius is 3 cm, at the rate of x cm per second into a cylindrical tank, the radius of whose base is 60 cm. If the level of water in the tank rises by 15 cm in 5 minutes, then the value of x is:
If the ratio of radii of the bases of two cylinders is 4 : 5 and the ratio of their heights is 5 : 2, then the ratio of their volumes is:
Find the volume of a cylinder with radius 5 cm and height 21 cm (use π = 22/7).
If the height of a cylinder is 16 cm and radius is 14 cm, what is the curved surface area (in cm²) of it?
Suggested Test Series
Suggested Test Series
The radii of two cylinders are in the ratio 2: 3 and their heights are in the ratio of 5: 3. The ratio of their volumes is
The radius of a road roller is 1 m , and its length is 21/22 m. When it is rolled on the ground, it takes 600 rolls to level the entire groun(d) However, it was found that on 10% of the ground, the roller rolled twice. What is the total area (in sq.m) of the ground? (Use π=22/7, and round off your answer to two decimal places)
The circumference of the base of a solid right circular cylinder is 88 cm and its height is 153 cm. What is the volume (in cm³ ) of the cylinder? (Take π = 22/7)
A cylindrical water tank has a base radius of 7 m and a height of 10 m. Water is filled into the tank at a constant rate. After filling the tank completely, 5% of the water leaks out due to a crack at the bottom. The remaining water is transferred into another cylindrical tank whose base radius is 5 m. Find the height of water in the second tank.
If the volume of a cone is 48π and the height is 10 cm . Find the radius of its base in nearest one decimal place.
The curved surface area of a cylinder having radius 5 cm and height 23 cm is:
Water flows out through a pipe, whose internal radius is 3 cm, at the rate of x cm per second into a cylindrical tank, the radius of whose base is 60 cm. If the level of water in the tank rises by 15 cm in 5 minutes, then the value of x is:
If the ratio of radii of the bases of two cylinders is 4 : 5 and the ratio of their heights is 5 : 2, then the ratio of their volumes is:
Find the volume of a cylinder with radius 5 cm and height 21 cm (use π = 22/7).
If the height of a cylinder is 16 cm and radius is 14 cm, what is the curved surface area (in cm²) of it?
