Q. 44.4( 199 Votes )

Answer :

Given:

Depth (*h*) of each conical depression = 1.4 cm

Radius (*r*) of each conical depression = 0.5 cm

Volume of wood = Volume of cuboid - 4 × Volume of cones

= lbh – 4 × r^{2}h

= 15 × 10 × 3.5 – 4 × × × ()^{2} × 1.4

= 525 – 1.47

= 523.53 cm^{3}

Hence,

The volume of wood in the entire stand= 523.53 cm^{3}

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PREVIOUSA gulabjamun contains sugar syrup up to about30% of its volume. Find approximately how much syrup would be found in 45 gulabjamun each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm (see Fig. 13.15)NEXTA vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.

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