If the radius of a sphere is reduced by 50%, then the new volume will become _______ the original volume.
Given:
The radius of a sphere is reduced by 50%.
Formula Used:
The formula for the volume of a sphere is:
Volume of a sphere = (4/3)πr³
Solution:
Let the original radius be r.
The original volume = (4/3)πr³
Now, if the radius is reduced by 50%, the new radius becomes r/2.
The new volume =
So, the new volume will be 1/8th of the original volume.
The new volume will become 1/8th of the original volume.
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Suggested Test Series
Suggested Test Series
If the perimeter of a square is doubled, then its area becomes
A square tank holds 15,000 litres of water. If its depth is 2.5 m, find the length of one side of its base.
A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use π = 3.14)
A square park has an area equal to the area of a rectangle whose length exceeds its breadth by 9 m and the breadth is half the side of the square. Find the side of the square.
If the areas of three adjacent faces of a cuboid are x, y, z square units, respectively, then the volume of the cuboid is:
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.
A cube is painted on all faces and then cut into 27 smaller cubes of equal sizes. How many smaller cubes have exactly two faces painted ?
A solid is in the shape of a cone mounted on a hemisphere. The radius of each is 6 cm and the total height of the solid is 14 cm . Find the surface area of the solid.
A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes will have only two faces painted?
The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300 m. Find its area.
