Mensuration
Areas of plane figures and surface areas/volumes of cubes, cuboids, cylinders, cones and spheres.
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Take a full mock →Q1 · Mensuration · EASY
A cylinder and a cone have equal radii of 7 cm and equal heights of 12 cm. What is the ratio of the volume of the cylinder to the volume of the cone?
Q2 · Mensuration · HARD
A hemispherical bowl of radius 9 cm is filled completely with water. This water is then poured into a conical flask of radius 9 cm. If the water fills the flask to the brim, what is the height of the conical flask?
Q3 · Mensuration · MEDIUM
A cubical block of side 10 cm is surmounted by a hemisphere of maximum possible diameter. What is the total surface area of the solid thus formed? (Take π = 22/7)
Q4 · Mensuration · EASY
A rectangular sheet of paper 44 cm long and 20 cm wide is rolled along its length to form a cylinder. What is the volume of the cylinder so formed? (Take π = 22/7)
Q5 · Mensuration · EASY
A solid sphere of radius 6 cm is melted and recast into a solid cone of radius 6 cm. What is the height of the cone?