The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm, b. the cross-sectional area of the prism, c. the total surface area of the prism, d. the volume of the prism

Question
The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm,
b. the cross-sectional area of the prism,
c. the total surface area of the prism,
d. the volume of the prism

Answers (1)

2020-12-25
a. To find r, we need to use the given arc length of 20 cm and the angle of 50∘ that creates the arc. The arc length, s, of a circle is given by the formula \(\displaystyle{s}=θ{360}∘{\left({2}π{r}\right)}\) where θ is the angle that creates the arc and r is the radius of the circle. We know the arc length is s=20 cm and the angle is θ=50∘. Therefore:
\(\displaystyle{s}={\left(
0

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