given the height and the circumference of the base of a cylinder describe how to find the surface area of the entire cylinder

1 answer:

7 0

The radius of the cylinder is related to its circumference by
.. C = 2πr
.. r = C/(2π)
The area of the cylinder base is given by
.. A = π*r^2 = π*(C/(2π))^2 = C^2/(4π)

The lateral area of the cylinder is given by
.. S = C*h

The total area of the cylinder is the lateral area plus the area of both bases.
.. total area = C*h +2*C^2/(4π)
.. total area = C*h +C^2/(2π) . . . . . . . . area from circumference and height

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7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S

Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.