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.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

step-by-step explanation: