Calculate the volume of a cylinder with a radius of \(3.2 \text{ cm}\) and a height of \(6.8 \text{ cm}\) (one decimal place)
Answer
\(218.8 \text{ cm}^3\)
Worked Solution
Question 2
112819
A cylinder has a volume of \(98 \pi \text{ cm}^3\). Given that the height of the cylinder is \(8\text{ cm}\), find its radius.
Answer
\(3.5 \text{ cm}\)
Worked Solution
Question 3
112821
A trapezoidal prism has the dimensions
\(AB=3 \text{ cm}\)
\(DC=5 \text{ cm}\)
\(AF=2 \text{ cm}\)
\(CE=6 \text{ cm}\)
Find the volume of the prism.
Answer
\(48 \text{ cm}^3\)
Worked Solution
Question 4
112822
A rectangular prism has a volume of \(3072 \text{ cm}^3\). The dimensions are
length: \(3x \text{ cm}\)
width: \(2x \text{ cm}\)
height: \(x \text{ cm}\)
Find the value of \(x\)
Answer
\(x=8 \text{ cm}\)
Worked Solution
Question 5
112820
A cylinder has a volume of \(30 \pi \text{ cm}^3\). Given that the radius of the cylinder is \(2\text{ cm}\), find its height.
Answer
\(7.5 \text{ cm}\)
Worked Solution
Question 6
15198
Calculate volume of following cylinder (2 decimal places)
Answer
\(5598.32~\rm{cm}^3\)
Worked Solution
Question 7
15201
A rectangular based prism has volume \({\rm{15504}}~\rm{cm}^3\). The length and breadth of the rectangular based prism are \({\rm{24}}~\rm{cm}\) and \({\rm{19}}~\rm{cm}\) respectively. Find the height of the rectangular prism.
Answer
\(34~\rm{cm}\)
Worked Solution
Question 8
15207
Calculate volume of solid (2 decimal places)
Answer
\(498.73~\rm{mm}^3\)
Worked Solution
Question 9
15241
Calculate voulme of following prism. All dimensions are in m.
Answer
\(148.32~\rm{m}^3\)
Worked Solution
Question 10
15244
A swimming pool that is \({\rm{17}}~\rm{m}\) long, \({\rm{15}}~\rm{m}\) wide and \({\rm{11}}~\rm{m}\) high is filled to \({\rm{1}}~\rm{m}\) below the top. Calculate the capacity of the swimming pool in kilolitres.
