Question

Find the volume of the cone. Use 3.14 for

.

Round your answer to the nearest tenth if needed.

(Hint #1: the diagram displays the slanted height, NOT the vertical height).

(Hint #2: use properties of a 45-45-90 degree triangle to find the diameter and vertical height)

(Hint #3: Round your vertical height and radius to the nearest hundredth before calculating the volume)

Answer 1

`(1)/(3) \pi {( (8)/( √(2) ) )}^(2) ( (16)/( √(2) ) ) = (1)/(3) \pi(32)(8 √(2) ) = 379.13`

`(1)/(3) (3.14)(32)(8 √(2) ) = 378.93`

Since we need to use 3.14 for π, the volume of this cone is about 378.93 cm^3.

Answer 2

1633.52 cm^3

Explanation:

first I find that the length of the side nearest to the 45 degree mark, it being approximately 8 square roots of 2

next i find that the diameter is equal to this height, when i put it through my calculations, so this is the radius of the cone.

the final answer is approximately 1633.52 cm^3