X 2. A solid wooden toy is in the shape0/5
of a cone mounted on a hemisphere
.if the radius of toy is 3.5 cm and it's
volume is 192.5 cm .find the total
hight of the toy.
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Answer:
Volume of the toy = Volume of the hemispherical part + Volume of conical part
Volume of a hemisphere of radius 'r' =32πr3
Volume of a cone =31πr2h where r
is the radius of the base of the cone and h is the height.
The hemisphere and the cone will have the same radius r =4.2cm
Since total length of the toy is 10.2 cm, the length of the conical part will be 10.2−4.2=6cm
Hence, Volume of the solid =(32×722×4.23)+(31×722×4.22×6)=266.112cm3
Step-by-step explanation:
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