find the volume of a mushroom whose cylindrical stem is of length 21cm and radius 7cm while the radius of the hemispherical part is 10.5 cm
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Answer:
V = 5,654.36 cm³
Step-by-step explanation:
Divide the mushroom into two parts:
Cylindrical stem part and Hemispherical part
1) Volume of Cylindrical stem part (V₁)
V₁ = π * r² * L
= π * 7² * 21
V₁ = 1029 * π
2) Volume of Hemispherical part (V₂)
V₂ = 2/3 * π * r³
= π * 2/3 * 10.5³
V₂ = 771.75 * π
Now, total volume (V) = V₁ + V₂
= 1800.75 * π
V = 5,654.36 cm³
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