Find the volume of a hemisphere whose radius is 25% smaller than the side length of a square with a perimeter of 160 cm.
The perimeter of a rhombus is 130 m. If one of its diagonals is 16 m, then the area of the rhombus is
The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room
A cuboidal box with dimensions 12.5 cm (length), 7.5 cm (breadth), and 10 cm (height) is open from the top. The box is to be painted from the outside. I...
The perimeter of a sector of a circle, whose radius is 22 cm, is 64 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector ...
A frustum of a cone has a lower base radius of 12 cm, an upper base radius of 8 cm, and a height of 15 cm. Find the total surface area of the frustum.
The volume of a cone is 128π cubic centimeters. If the radius of the base is 4 cm, find the height of the cone.
A sphere 'A' has a volume of 256 cm³, and its radius is 'r' cm. If the radius of another sphere 'B' is (r + 1) cm, calculate the curved surface area (i...
If the area of a square field is 484 m2, then find the diagonal of the square field.
Find the perimeter of a sector which forms a central angle of 90° in a circle of radius 28 cm.
(Use π = 22/7)