The lateral area of a cylinder is 94.2cm2. The height is 6 cm. What is the radius?

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The lateral area of a cylinder is 94.2cm2. The height is 6 cm. What is the radius?

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Answer 1 · 2017-01-23T18:11:21

the radius=2.5 cm to the nearest $\frac{1}{2}$ $1/2$ centimeters

Explanation:

The lateral area of a cylinder is the curved area of a cylinder.

a cylinder has two circles so the one side of the curved
area $= 2 \times$ $= 2 xx$ the circumference and the other side = 6cm
which is the height of the cylinder.
when the curved area is opened flat you get a rectangle.
So $2 π r = 15.702 \times 6 = 94.2$ $2pir=15.702 xx 6=94.2$

Lateral area= $2 π r h$ $2pirh$

$= 94.2 c m$ $=94.2cm$ given

$2 π r h = 94.2$ $2pirh=94.2$

$(2) (3.141592654) (r) (6) = 94.2$ $(2)(3.141592654)(r)(6)=94.2$

$37.699 r = 94.2$ $37.699r=94.2$

$r = \frac{94.2}{37.699}$ $r=(94.2)/37.699$

$r = 2.499$ $r=2.499$

check:

Lateral area $= 2 \times π \times r \times h$ $=2 xx pi xx r xx h$

$= 2 \times 3.141592654 \times 2.499 \times 6$ $= 2 xx 3.141592654 xx 2.499 xx 6$

$= 94.2$ $=94.2$ cm

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The lateral area of a cylinder is 94.2cm2. The height is 6 cm. What is the radius?

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Explanation:

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