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zubka84 [21]
2 years ago
12

Find the least common denominator (LCD) of

Mathematics
1 answer:
GaryK [48]2 years ago
5 0

Answer:

12

Step-by-step explanation:

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B) The number of volume of a cylinder is half of its number of the total surface area.
faust18 [17]

Answer:

V=179.6cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

V=\pi r^2h

where r is the radius and h is the height.

and the surface area:

SA=2\pi r^2+2\pi rh

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

V=\frac{1}{2}SA

substitutig the equivalent expressions on each side:

\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)

and we simplify and solve for the height (since is the value we don't know of the cylinder):

\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)

we substitute the value of the radius r=7cm, and we get:

h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm

thus the volume is:

V=\pi r^2h

V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3

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Answer:

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Step-by-step explanation:

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Step-by-step explanation: oh night longg

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Cos(arcsin(0.5)) = 0.866
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