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3 years ago

Compute, in centimeters and in meters, the height of a basketball player who is 6 ft 6 in. tall.

Mathematics

2 answers:

Serggg [28]3 years ago

5 0

Centimeters - 201.168
Meter - 2.01168

rjkz [21]3 years ago

5 0

Answer:

Height in cm =198.12 cm

Height in m =1.9812 m

Step-by-step explanation:

To make this conversion we have to get the conversion rate from feet and inches to centimeters.

Each feet is 30.48 cm. And each inch is 2.54 cm This is the rate of conversion.

So, to get the height of the basketball player we have to multiply the height in feet and inches by the rate.

6 ft x 30.48 cm= 182.88 cm

6 in x 2.54 cm= 15.24 cm

Adding both, height in cm =198.12 cm

Rate of conversion cm to m= 100 cm are a meter

We divide the height in cm by 100 to get the height in m

Height in m =1.9812 m

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now, for the second one, we know the diameter is 10, thus its radius is half that or 5.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ V=225 \end{cases}\implies 225=\cfrac{\pi (5)^2 h}{3}\implies 225=\cfrac{25\pi h}{3} \\\\\\ \cfrac{225}{25\pi }=\cfrac{h}{3}\implies \cfrac{9}{\pi }=\cfrac{h}{3}\implies \cfrac{27}{\pi }=h\implies 8.59\approx h\implies \stackrel{\textit{rounded up}}{8.6=h}$

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