Asphere with a radius of 10 centimeters is inscribed in a right cylinder. what is the volume of the right cylinder in terms of ?
a) 200pi cm^3
b) 500pi cm^3
c) 1,000pi cm^3
d) 2,000pi cm^3

Option D is correct.

Step-by-step explanation:

Given Radius of Sphere, r =  cm and sphere is inscribed in cylinder.

We have to find volume of cylinder.

For given condition Pic is attached.

From pic,

radius of cylinder is same as of sphere that is r = 10 cm

height of the cylinder, h = diameter of sphere = 2 × 10 = 20 cm

Volume of cylinder = πr²h

Volume = π × 10² × 20  = 100 × 20 × π = 2000π cm³

Therefore, Option D is correct.

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: