If a sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, then what would be the volume of the cylinder?
Volume of the cylender is
here is is 2R as diameter of the circle which is the height of the cylinder so
Volume is 2*Pi*R^3
2*Pi*R^3 is the answer
The altitude of a circular cylinder is increased 12 times and the base area is decreased to one ninth of its value.
How much would be the change in surface area of new cylinder?
A certain right pyramid with a square base has the same numerical surface area as its volume. If it is also the only right pyramid with a square base to have that certain surface area and volume, what is its height?
A cylinder of base radius r and height h is dipped vertically to half the height in a bucket full of purple paint. Find the area of the surface which get painted?
A circle is inscribed inside a trapezium ABCD such that it touches all 4 sides of this trapezium.
Given that the area of this trapezium is 4 and the diameter of the circle is 1, find the value of the ratio AB/CD.