Areas & Volumes — practice questions, page 2
Browse practice questions
A frustum of a cone has radii 14 cm and 7 cm and vertical height 24 cm. Find its curved surface…A cuboidal room measures 12 cm by 9 cm by 8 cm. Find the length (in cm) of the longest rod that…A room is 8 m long, 6 m wide and 4 m high. Whitewashing its four walls and the ceiling costs ₹12…A cube of side 6 cm is cut into identical small cubes of side 2 cm. Find the ratio of the combined…The curved surface area of a cylinder of height 20 cm is 1760 cm². Find its radius in cm. Take π =…A cone has base radius 7 cm and slant height 25 cm. Find its volume in cm³. Take π = 22/7.A solid hemisphere has radius 21 cm. Find its total surface area in cm². Take π = 22/7.A cone, a hemisphere and a cylinder all have the same base radius, and the height of the cone and…A sphere fits exactly inside a cylinder, touching its curved surface and both flat ends. Find the…A solid metallic sphere of radius 10.5 cm is melted and recast into small cones, each of base…A solid metallic cylinder of radius 6 cm and height 15 cm is melted and recast into solid spheres…A cylindrical bucket of radius 12 cm and height 15 cm is full of sand. The sand is emptied onto…A bucket in the shape of a frustum has radii 14 cm and 7 cm and vertical height 24 cm. Find its…A regular hexagon has each side 8 cm. Taking √3 = 1.73, find its area in cm².The altitude drawn from a vertex of an equilateral triangle to the opposite side measures 6√3 cm.…A regular hexagon and an equilateral triangle have the same perimeter. Find the ratio of the area…A right triangle has legs 5 cm and 12 cm, so its hypotenuse is 13 cm. A semicircle is drawn…Semicircles are drawn on all three sides of a right triangle with legs 6 cm and 8 cm, each side…A circle is drawn inside a square of side 20 cm so that it touches all four sides, and a smaller…A square lawn of side 28 m has a quarter-circle flower bed of radius 14 m cut at each of its four…A triangle is drawn inside a semicircle of diameter 28 cm: its base is the whole diameter and its…A rectangular garden measures 20 m by 14 m. A semicircular pond of diameter 14 m is dug at one…The length of a rectangle is increased by 20% while its breadth is decreased by 20%. By what…Each edge of a cube is increased by 50%. By what percent does its volume increase?The radius of a sphere is decreased by 10%. By what percent does its surface area decrease?
← Previous · Page 2 of 12 · Next →