The problem asks us to find the volume of a cylinder with radius $r = 1.75$ inches and height $h = 11$ inches. We need to round the answer to the nearest tenth.

GeometryVolumeCylinderGeometric FormulasCalculationsRounding
2025/4/14

1. Problem Description

The problem asks us to find the volume of a cylinder with radius r=1.75r = 1.75 inches and height h=11h = 11 inches. We need to round the answer to the nearest tenth.

2. Solution Steps

The volume of a cylinder is given by the formula:
V=πr2hV = \pi r^2 h
where rr is the radius and hh is the height.
Substituting the given values, we get:
V=π(1.75)2(11)V = \pi (1.75)^2 (11)
V=π(3.0625)(11)V = \pi (3.0625) (11)
V=π(33.6875)V = \pi (33.6875)
Using the value of π\pi from a calculator, we have π3.14159\pi \approx 3.14159.
V3.14159×33.6875V \approx 3.14159 \times 33.6875
V105.837253125V \approx 105.837253125
Rounding to the nearest tenth, we get:
V105.8V \approx 105.8 cubic inches.

3. Final Answer

105.8

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