Please help me [Trig]

Mathematics

1 answer:

yanalaym [24]3 years ago

4 0

Using The base and height dimensions we can find angle A.

Tan(Angle) = Opposite / Adjacent.

Tan(A) = 5/12

A = arctan(5/12)

A = 22.6 degrees.

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The volume of a cylinder is 156 x cm3. What is the volume of a cone with the same base and height as the cylinder?

Flura [38]

Answer: SECOND OPTION (52 cm³)

Step-by-step explanation:

The formula for calculate the volume of a cone is:

$V{co}=\frac{1}{3}r^{2}h\pi$

Where r is the radius and h is the height.

The formula for calculate the volume of a cylinder is:

$V{cy}=r^{2}h\pi$

Where r is the radius and h is the height.

As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cylinder and you know that the cone has the same base and height as the cylinder, you have to divide the volume of the cylinder by 3 to obtain the volume of the cone.

Therefore, the result is:

$V{co}=\frac{156cm^3}{3}=52cm^3$