Numerical Abili...

Find the total percentage change in the volume of a cuboid if its length and breadth are decreased by 10% and 20%, respectively, while its height is increased by 30%.

Find the volume (in cm³) of the hemisphere whose diameter measures 14 cm (Use π = (22/7) ).

The radius of the base and height of a solid right circular cylinder are in the ratio 7 ∶ 3 and its volume is 12474 cm³. What is the total surface area of the cylinder?

A cone shape tent is made with canvas. The radius of the tent is 7 units and total 308 square units of canvas is used to make it. What is the volume of the tent in cubic units?

A cube is stretched to increase its size. The diagonal of the cube increases by 50%. By how much does the volume increase?

The diameter of a sphere is increased by 30%. What is the percentage increase in its volume?

From a cube having an edge of 'p' cm, cubes of having an edge of (p/k) are removed, if each cube is removed from the corners of the original cube then the original cube looses 12.5% of its volume. Find the value of k?

A cube and a sphere have equal height. Find the ratio of their volumes.

PQR is a right-angled triangle with ∠ Q = 90°, PQ = 7 cm, and QR = 24 cm. What is the approximate volume (in cm³) of the double cone formed by rotating the triangle about its hypotenuse?

The length, breadth and height of a cuboid are increased by 10%, 20% and 50% respectively. What is the percentage increase in volume of the cuboid?