Find the volume of a right circular cone that has a height of 17 m and a base with a circumference of 6.3 m.

The volume of the right circular cone is approximately 17.9 m³

Step-by-step explanation:

The given parameters of the cone are;

Height = 17 m

Circumference of the base, C = 6.3 m

The circumference, C, of a circle is given by the formula, C = 2×π×r

Therefore, we have;

C = 6.3 m = 2×π×r

r = 6.3/(2 × π) ≈ 1.002676

The volume, V, of a cone is given by the following formula;

Where;

r = The radius of the base ≈ 1.002676

h = The height of the cone = 17 m

V = 1/3 × π × (1.002676 m)² × 17 m ≈ 17.89776 m³ which by rounding up to one decimal place is 17.9 m³

The volume of the right circular cone, V ≈ 17.9 m³.

i would say c is the best answer, hope it's right!

good luck! =)

cutie~

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq