Find the surface area of a cylinder with a radius of 38 centimeters and a height of 123 centimeters

2 answers:

6 0

Hello!

To find the surface area of a cylinder you use the equation

$SA = 2 \pi rh+ 2 \pi r^{2}$

SA is surface area
r is radius
h is height

Put in the values you know

$SA = 2 \pi (38)(123) + 2 \pi * 38^{2}$

Square the number

$SA = 2 \pi (38)(123) + 2 \pi * 1444$

Multiply 38 and 123

$SA = 2 \pi * 4674 + 2 \pi * 1444$

Multiply 2 and 4674

$SA = 9348 \pi + 2 \pi * 1444$

Multiply the 2 and 1444

$SA = 9348 \pi + 2888 \pi$

Add

$SA = 12236 \pi = 38440.53$

The answer is 12236 pi or about 38440.53

Hope this helps!

Elan Coil [88]2 years ago

3 0

38440.53 Is the surface area of the cylinder

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Explanation:

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Sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.

Mrrafil [7]

Answer:

C. 128/3 meters cubed

Step-by-step explanation:

The volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:

$V=\pi r^2h$

$64=\pi r^2h$

We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:

$64=\pi r^2h$

$64=\pi r^2*2r=2\pi r^3$

$\pi r^3=64/2=32$

Now, the volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius. From above, we know that $\pi r^3=32$ , so we can plug this into the equation: