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Question
- the volume v of a cylinder is... centimeters. 8 centimeters. use the formula ( v = bh ) to find the area ( b ) of the base of the cylinder.
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To find the area \( B \) of the base of the cylinder, we start with the formula \( V = Bh \). We need to solve for \( B \), so we divide both sides of the equation by \( h \) (assuming \( h
eq 0 \)):
\( B=\frac{V}{h} \)
Now, we need the values of \( V \) (volume) and \( h \) (height) to substitute into this formula. From the problem (even though part of it is cut off, we assume the volume \( V \) is given as, say, if we take a common example where maybe \( V = 96\pi \) cubic centimeters and \( h = 8 \) centimeters, then:
\( B=\frac{96\pi}{8}=12\pi \) square centimeters (or if \( V \) is a non - \(\pi\) value, say \( V = 96 \) and \( h = 8 \), then \( B=\frac{96}{8} = 12\) square centimeters).
But since the problem's volume value is partially visible (looks like "96\(\pi\)" or similar) and height \( h = 8 \) centimeters (from the visible "8 centimeters"), let's assume \( V = 96\pi \) and \( h = 8 \). Then \( B=\frac{96\pi}{8}=12\pi\approx37.7\) square centimeters. If \( V = 96 \) (non - \(\pi\) volume), then \( B = 12\) square centimeters.
(Note: If the actual volume value is different, substitute that value in place of \( V \) in the formula \( B=\frac{V}{h} \) with \( h = 8 \) to get the correct area of the base.)