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29 votes
help me with this please , you find the volume and round it to the nearest hundredth the numbers are 5 , 6 and 16

help me with this please , you find the volume and round it to the nearest hundredth-example-1
User Elthrasher
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1 Answer

12 votes
12 votes

\begin{gathered} \text{Volume of the hemispherical part = }(2)/(3)\pi r^3 \\ =(2)/(3)\text{ x 3.14 x 3 x3 x 3 =} \\ =56.52\operatorname{cm}^3^{} \end{gathered}
\begin{gathered} \text{Volume of the cylindrical part = }\pi r^2h \\ \text{Height of the cyclinder = 16cm -5cm -3cm = 8cm} \\ \text{Volume = 3.14 x 3 x 3 x 8 = 226.08cm}^3 \end{gathered}
\begin{gathered} \text{Volume of the conical part = }(1)/(3)\text{ x }\pi\text{ x r x r x h} \\ =(1)/(3)\text{ x 3.14 x 3 x 3 x 5} \\ =47.1\operatorname{cm}^3 \end{gathered}
\begin{gathered} \text{Volume of the shape = 56.52cm}^3+226.08\operatorname{cm}^3+47.1\operatorname{cm}=329.7cm^3 \\ =329.70cm^3\text{ ( nearest hundredth)} \end{gathered}

User Ross Stepaniak
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