Achild's set of wooden building blocks includes a cone with a diameter of 6 cm and a height of 8 cm. what is the volume of the cone? use 3.14 for π . enter your answer in the box as a decimal to the nearest cubic centimeter. cm³ a right circular cone with circular base. the diameter is labeled as 6 centimeters. the height is labeled as 8 centimeters. the angle between the vertical line and diameter is marked perpendicular.

75 cubic centimeters

Step-by-step explanation:

Volume of a cone is the area of the base times a third of the height.

The base is a circle.

The formula for the area of a circle is .

We are given that we want to use for and

r=(diameter)/2=6/2=3 cm.

So the area of the base is .

Now the height of the cone is 8 cm.

A third of the height is 8/3 cm.

So we want to compute area of base times a third of the height.

Let's do that:

75.36 cubic centimeters

To the nearest cubic centimeters this is 75

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: