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Q1.
A hollow metallic sphere has outer radius 10 cm and is melted to make 50 smaller solid spheres of radius 2 cm. What is the inner radius of the original sphere?
Q2.
The volume of a hemisphere is numerically equal to four times its curved surface area. Find its radius.
Q3.
What is the minimum number of cuts required to divide a cuboid into 8 equal cuboids?
Q4.
If the height of a cone is tripled and the radius is halved, how does the volume change?
Q5.
A sector of a circle has a central angle of 60° and a radius of 8 cm. Another sector of the same circle has a central angle of π/3 radians. What is the ratio of the area of the first sector to the area of the second sector?