Question

A cylindrical jar of jam has a diameter of 6cm and a height of 8cm if the jar is 70% full how many cubic centimeters of jam is in the jar?

Answer 1

`158.256 \: {cm}^(3)`

Explanation:

For cylindrical jar:

Diameter = 6 cm

Radius (r) = 6/2 = 3 cm

Height (h) = 8 cm

`V_(cylindrical \: jar) = \pi {r}^(2) h \\ \\ = 3.14 * {(3)}^(2) * 8 \\ \\ = 3.14 * 72 \\ \\ = 226.08 \: {cm}^(3) \\ \\ \because \: jar \: is \: filled \: upto \: 70 \% \\ \\ \therefore \: V_(jam) = 70 \% \: of \: V_(cylindrical \: jar) \\ \\ \therefore V_(jam) = 0.70 * 226.08 \\ \\ \therefore V_(jam) = 158.256 \: {cm}^(3)`