In ΔCDE, the measure of ∠E=90°, the measure of ∠D=38°, and DE = 2.9 feet. Find the length of CD to the nearest tenth of a foot.
1 answer:
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Answer:
155in³, 465in³
The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.
Step-by-step explanation:
Formula: πr²
Given: π = 3.14, r = 4.6, h = 7
Sub: 3.14(4.6)²
SImplify: 3.14(21.16)
Simplify: (66.4424)
Solve: 155
<u>The volume of the cone is 155in³</u>
<u />
Formula: (πr²)h
Given: π = 3.14, r = 4.6, h = 7
Sub: (3.14(4.6²))7
Simplify: (3.14(21.16))7
Simplify: (66.4424)7
Solve: 465
<u>The volume of the cylinder is 465.</u>
<u />
Since the last term of the cone is 1/3 of the last term of the cylinder, we can say:
The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.