CBSE Class 10-Mathematics: Chapter – 13 Surface Areas and Volumes Part 16 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 6:

A gulabjamun, contains sugar syrup up to about of its volume. Find approximately how much syrup would be found in gulab jamuns, each shaped like a cylinder with two hemispherical ends, with length and diameter (see figure) .

Answer:

Volume of a gulabjamun

Volume of

Volume of syrup

Find Approximately How Much Syrup

Question 7:

A vessel is in the form of inverted cone. Its height is and the radius of the top, which is open, is . It is filled with water up to the brim. When lead shots, each of which is a sphere of radius are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

Answer:

For cone, Radius of the and

Volume of

For spherical lead shot,

Volume of spherical lead

Volume of water that flows out Volume of the cone

Let the number of lead shots dropped in the vessel be .

A Vessel is in the Form of Inverted Cone
A Vessel is in the Form of Inverted Cone

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