A cone-shaped popcorn cup has a radius of 5 centimeters and a height of 9 centimeters. How many cubic centimeters of popcorn can the cup hold? Use 3.14 for π (pi).
The volume of the popcorn cup is __ cm^3

The cup can hold 235.5 cubic cm of popcorn.

Step-by-step explanation:

A cone shaped popcorn cup has a radius of 5 cm and a height of 9 cm.

Use 3.14 as an approximation for pi.

Now, to find cubic cm of popcorn the cup can hold.

Radius (r)= 5 cm

Height (h)= 9 cm

= 3.14 (as per question).

So, to get the cubic cm of popcorn the cup can hold we put formula of volume:

Volume= r h 3

Volume= 3.14 x 5 × 93

Volume= 3x14 x 25 x 3

Volume= 235.5 cubic cm.

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: