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CBSE Class 10- Mathematics: Chapter β 13 Surface Areas and Volumes Part 14
Question 33:
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is and the total height of the Vessel is 13 cm. Find inner surface area.
Answer:
Inner surface area
Question 34:
A spherical ball of diameter is melted and recast into cubes each of side . Find the number of cubes thus formed.
Answer:
Volume of spherical ball
Volume of each cube
Required number of cubes
3 Mark Questions
Question 1:
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is and the total height of the vessel is . Find the inner surface area of the vessel.
Answer:
Diameter of the hollow hemisphere
Radius of the hollow hemisphere
Total height of the vessel = 13 cm
Height of the hollow cylinder = 13 β 7 = 6 cm
Inner surface area of the vessel
Inner surface area of the hollow hemisphere Inner surface area of the hollow cylinder
Question 2:
A toy is in the form of a cone of radius mounted on a hemisphere of same radius. The total height of the toy is . Find the total surface area of the toy.
Answer:
Radius of the
Radius of the hemisphere
Total height of the
Height of the
Slant height of the
TSA of the of hemisphere of cone