Solve for z. 12=15(z-1/5)

Mathematics

1 answer:

OLga [1]3 years ago

6 0

Answer:

z = 1 i hope this helps! :)

Step-by-step explanation:

given 12 = 15(z - 1/5)

distribute the 15 to both the z and the - 1/5

12 = 15z - 3

add 3 to both sides

15 = 15z

divide both sides by 15

1 = z

flip the equation around so the variable is on the left

z = 1

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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: