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Vlada [557]
3 years ago
15

Angles of xyz are in the ratio 3:3:6. What are the measures of the angles

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0
Let
x = 3a (first angle)
y = 3a (second angle)
z = 6a (third angle)

The total angle of a triangle is ALWAYS 180.
3a + 3a + 6a = 180
12a = 180
a = 15

Therefore, x = 45, y = 45, z = 90
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<u>Given</u>:

Given that the radius of the cone is 3 units.

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<u>Height of the cone:</u>

The height of the cone can be determined using the formula,

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

Substituting the values, r = 3 and V = 57, we get;

57=\frac{1}{3} (3.14) (3)^2 h

Simplifying the terms, we get;

57=\frac{1}{3} (3.14) (9) h

Multiplying both sides of the equation by 3, we get;

171= (3.14) (9) h

171=28.26 h

Dividing both sides of the equation by 28.26, we get;

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Thus, the height of the cone is 6.05 units.

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Step-by-step explanation:

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