Cuboid, cylinder, cone, sphere, hemisphere, frustum — combinations and conversions.
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Q1 · Surface Areas and Volumes (Class 10) · MEDIUM
A metallic sphere of radius 6 cm is melted and recast into a cone of height 24 cm. What is the radius of the base of the cone?
Q2 · Surface Areas and Volumes (Class 10) · MEDIUM
A cylindrical water tank has a radius of 3.5 m and height 6 m. Find its total surface area. (Take π = 22/7)
Q3 · Surface Areas and Volumes (Class 10) · HARD
A solid sphere of radius 6 cm is melted and recast into 8 smaller spheres of equal size. What is the radius of each smaller sphere?