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. A plastic marker buoy floating on the sea consisting of a cone attached to a hemispherica base is shown above. The radius of the hemispherical base is 0.95cm and height of the cone is 1.2m. Calculate the volume of the buoy.​

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Answer:

The volume of the buoy can be calculated by finding the volumes of the cone and hemisphere separately and then adding them together.

The volume of the cone is given by:

Vcone = (1/3)πr^2h

where r is the radius of the base of the cone and h is the height of the cone.

Substituting the given values, we get:

Vcone = (1/3)π(0.95)^2(1.2) = 1.08 m^3 (rounded to two decimal places)

The volume of the hemisphere is given by:

Vhemisphere = (2/3)πr^3

where r is the radius of the hemisphere.

Substituting the given value, we get:

Vhemisphere = (2/3)π(0.95)^3 = 1.05 × 10^-3 m^3 (rounded to two decimal places)

Therefore, the total volume of the buoy is:

Vbuoy = Vcone + Vhemisphere = 1.08 + 1.05 × 10^-3 = 1.08 m^3 (rounded to two decimal places)

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