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प्रश्न
A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same diameter. Determine the volume of the solid thus formed.
उत्तर
Height of cone = 15 cm
And radius of the base = `7/2` cm
Therefore, volume of the solid = volume of the conical part + volume of hemispherical part.
= `1/3pir^2h + 2/3pir^3`
= `1/3pir^2(h + 2r)`
= `1/3 xx 22/7 xx 7/2 xx 7/2(15 + 2 xx 7/2)`
= `847/3`
= 282.33 cm3
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