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Solve the following volume questions to 2 decimal places.

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Part1

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Volume of hemispherical container

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V = $\\frac{4}{3}\\pi r^3$

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$\\frac{4}{3} \\times\\pi \\times (\\frac{\\var{size2[0]}}{2})^3 = \\var{precround(ans1,2)}$

\n

Part2

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Volume of cylindrical container

\n

V = $\\pi r^2h$

\n

$r = \\sqrt \\frac{V}{\\pi h}$

\n

Diameter = $2 \\times r$

\n

=$2 \\times \\sqrt \\frac{\\var{vol}}{\\pi \\times \\var{size1}} = \\var{precround(ans2a,2)}$m

\n

Part3

\n

Volume of cylindrical container

\n

V = $\\pi r^2h$

\n

$\\pi \\times (\\frac{\\var{size3}}{2})^2 \\times \\var{size4} = \\var{precround(ans3,2)}$

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\n

Calculate the volume of a hemispherical container of diameter $\\var{size2[0]}$cm.

\n

[[0]] cm$^3$

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\n

A cylinrical tank has a volume of $\\var{vol}$m$^3$. If the height of the tank is $\\var{size1}$m, find its diameter.

\n

[[0]]m

\n

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\n

Calculate the volume of concrete required to make a solid cylindrical pillar which has a diameter of $\\var{size3}$ m and a perpendicular height of $\\var{size4}$m.

\n

[[0]] m$^3$

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Volume Problems

\n

rebelmaths

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