Respuesta :
Answer:
- 1004.8 in³
Step-by-step explanation:
d = 2r => r = d/2 = 16in/2 = 8 inches
V = Ab×h
= π·r²×h
= 3.14·(8in)²×5in
= 1004.8 in³
A cylinder is a three-dimensional structure. The volume of the cylinder in cubic inches to the nearest tenth place is 1,005.3 in³.
What is a cylinder?
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
The volume of the cylinder is given by the formula,
[tex]\text{Volume of the cylinder} = \dfrac{\pi}{4} d^2h[/tex]
Given that the diameter of the cylinder is 16 inches, while the height of the cylinder is 5 inches. Therefore, the volume of the cylinder,
[tex]\rm \text{Volume of the cylinder} = \dfrac{\pi}{4} \times (16^2) \times 5 = 10005.3\ in^3[/tex]
Hence, the volume of the cylinder in cubic inches to the nearest tenth place is 1,005.3 in³.
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