Find the volume of a right circular cone that has a height of 17.5 m and a base with a circumference of 19.4 m

Volume = 174.71 cubic meters

Step-by-step explanation:

Hi, to answer this, first, we have to apply the formula for the circumference (C) of a circle.

C= 2πr

Substituting with c=19.4 in the formula, and solving for the radius (r)

19.4= 2πr

19.4/ 2π =r

r= 3.09

Finally we apply the formula:

Volume of a right circular cone: 1/3 π r^2 h

Where h is the height of the cone and r is the radius of the base.

Replacing with the values given and calculated:

V=1/3 π (3.09)^2 (17.5)

V = 174.71 cubic meters

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.