The diameter of the base of a cone measures 8 units. The height of the cone is 6 units. What is the volume of the cone in terms of pi?

V = 32 pi

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h

The radius is d/2 = 8/2 = 4

V = 1/3 pi (4)^2 * 6

V = 32 pi

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.