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The net of a cylinder is shown. Find the radius of the circular base. Round to the nearest tenth
13 cm
20 cm

The net of a cylinder is shown Find the radius of the circular base Round to the nearest tenth 13 cm 20 cm class=

Respuesta :

Height of the cylinder, (h = 13 , \text{cm})

Curved surface area of the cylinder, (L = 1632.80 , \text{cm}^2) (rounded to two decimal places)

To find the radius, we can use the formula for the curved surface area of a cylinder:

[ L = 2 \pi r h ]

Solving for the radius ((r)):

[ r = \frac{L}{2 \pi h} ]

Substitute the given values:

[ r = \frac{1632.80}{2 \pi \cdot 13} ]

Let’s calculate the value of (r):

[ r \approx \frac{1632.80}{2 \cdot 3.14 \cdot 13} ]

[ r \approx 6.25 , \text{cm} ]

Therefore, the radius of the circular base of the cylinder is approximately 6.25 cm

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