Mechanical - UNIT - 6 - Mensuration - Area of Cut-Out Regular - MCQ
If the perimeter of a square is equal to the perimeter of a circle, which one has the greater area?
A rectangular sheet of paper 44 cm by 28 cm is rolled to form a cylinder along its longer side. What is the volume of the cylinder?
A regular hexagon is inscribed in a circle of radius rr. What is its area?
A ring has an outer radius of 14 cm and inner radius of 7 cm. What is the area of the ring?
The area of an ellipse with semi-major axis 10 cm and semi-minor axis 6 cm is:
If the sides of a triangle are 13 cm, 14 cm, and 15 cm, what is its area?
A sector of a circle has radius 10 cm and central angle 72°. What is its area?
The perimeter of a rectangle is 60 cm and its area is 200 cm². What are its dimensions?
A square and a circle have the same area. What is the ratio of the side of the square to the radius of the circle?
Find the TSA of a hollow cylinder with outer radius 10 cm, inner radius 6 cm, and height 20 cm. Both ends are closed.
A cube and a sphere have the same surface area. Which has greater volume?
A cylinder has height 10 cm and diameter 7 cm. What is its volume?
Find the capacity in litres of a conical vessel of radius 14 cm and height 24 cm.
A cylindrical tank has height 1.2 m and diameter 1.4 m. What is its capacity in litres?
A sphere is melted and recast into a cone with radius 6 cm and height 12 cm. Find the radius of the sphere.
A cuboid has dimensions 12 cm × 10 cm × 5 cm. How many cubes of side 2 cm can be cut out of it?
The TSA of a cone is 550 cm² and its slant height is 14 cm. Find its radius.
A metal cube of side 5 cm is melted and cast into cylindrical rods of radius 0.5 cm. What is the total length of the rods?
If the volume of a sphere is equal to the volume of a cube of side 6 cm, then the radius of the sphere is:
A rectangular sheet 30 cm × 20 cm has 4 identical circles of radius 2 cm cut from its corners. What is the remaining area?
From a circular sheet of radius 10 cm, a sector with central angle 60° is removed. What is the area of the remaining sheet?
A circular ring has inner and outer radii of 7 cm and 14 cm. A sector of 90° is cut from it. Find the area of the sector ring.
Find the area of a circular segment formed by a chord 10 cm long in a circle of radius 6 cm.
From a square plate of side 10 cm, a circle of radius 3 cm is cut out. Find the remaining area.
A parallelogram has adjacent sides 8 cm and 14 cm with an included angle of 60°. Find its area.