Question

Question 1 (Multiple Choice Worth 4 points)

A cylindrical rain barrel has a radius of 2 feet and holds a total of 30 cubic feet of water. How tall is the rain barrel? Use 3.14 for pi. Round your answer to the nearest hundredth.

1.58 ft
2.39 ft
3.57 ft
4.78 ft

Question 2 (Multiple Choice Worth 4 points)

A paper popcorn cone measures 4 inches in diameter and 9 inches high. What is the volume of popcorn that can be contained within this cone? Use 3.14 for pi. Round your answer to the nearest hundredth.

37.68 in3
39.45 in3
40.23 in3
41.90 in3

Answer 1

@ali2x2 @pooja195 @Peaches15 @phi

Answer 2

@mathmate

Answer 3

@Michele_Laino

Answer 4

fan and medal

Answer 5

the volume V of a cylinder, whose radius is r and whose height is h, is given by the subsequent formula:
\[\Large V = \pi {r^2}h \cong 3.14{r^2}h\]

Answer 6

so the measure of the height h, is:
\[\Large h = \frac{V}{{3.14{r^2}}} = \frac{{30}}{{3.14 \times {2^2}}} = ...?\]