Mechanical - UNIT - 6 - Mensuration - Area of Cut-Out Regular - MCQ
A cone has a base radius of 7 cm and slant height of 25 cm. Find its curved surface area.
A circle has a radius of 14 cm. Find the area of a minor segment if the central angle is 90°.
A solid object consists of a cylinder with a radius of 3 cm and height of 6 cm, and a hemisphere attached on top. Find the total volume of the object.
A square has a side length of 8 cm, and a quarter circle with a radius equal to the side of the square is added to one corner. Find the perimeter of the combined shape.
A hexagonal tank has a base edge of 5 m and a height of 10 m. Find its capacity in liters.
A cone with a radius of 7 cm and height of 24 cm is placed on top of a cylinder with the same radius and height of 20 cm. Find the total surface area of the combined shape.
A circle with a radius of 10 cm has a rectangle of dimensions 12 cm × 8 cm cut out from its center. Find the remaining area of the circle.
An ellipsoid has semi-axes of 7 cm, 5 cm, and 3 cm. Calculate its volume.
A circular track has an inner radius of 30 m and a width of 5 m. Find the total perimeter of the track.
A sphere has a radius of 21 cm. Find its total surface area.
A truncated square pyramid has a top edge of 4 cm, bottom edge of 10 cm, and height of 8cm. Find its volume.
A hollow sphere has an outer radius of 10 cm and inner radius of 8 cm. Find its total surface area.
A square with a side length of 12 cm has a semicircle attached to one side and an equilateral triangle attached to the adjacent side. Find the total perimeter.
A parallelogram has a base of 15 cm and height of 8 cm. Calculate its area.
An ellipse has a semi-major axis of 10 cm and a semi-minor axis of 6 cm. A sector with a central angle of 90° is cut out. Find its area.
A cylinder with a radius of 5 cm and height of 10 cm is placed on top of a cube with a side length of 10 cm. Find the total volume.
A regular hexagon has a side length of 7 cm. Find its perimeter.
A circle with a radius of 10 cm has another circle of radius 6 cm cut out from its center. Find the area of the remaining part.
A hexagonal prism has a side length of 6 cm and a height of 15 cm. Find its total surface area.
A cone with a base radius of 7 cm and height of 14 cm is topped with a hemisphere of the same radius. Find the total volume.
A rectangle has dimensions 12 cm × 8 cm, and a semicircle with a diameter equal to the shorter side is attached to one side. Find the total area.
A sector of a circle has a radius of 7 cm and a central angle of 120°. Find its perimeter.
A cylinder has a radius of 10 cm and a height of 15 cm. Find its total surface area.
A trapezium has parallel sides of lengths 10 cm and 20 cm, and the distance between them is 15 cm. Calculate its area.