Q. 275.0( 2 Votes )

# A solid is in the shape of a cone surmounted on a hemi-sphere, the radius of each of them is being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid.

Answer :

Height of the cylinder = height of solid – radius of the cone

= 9.5 – 3.5 = 6cm

Volume of the solid = volume of the cone + volume of the cone

= 166.83 cm^{3}

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PREVIOUSA toy is in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of the hemisphere. If the radius of the base of the cone is 21 cm and its volume is 2/3 of the volume of the hemisphere, calculate the height of the cone and the surface area of the toy. NEXTAn wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy.

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