A sphere fits tightly in cylinder. The surface area of the sphere is 100π square inches. Find Volume of the cylinder. Give answer in terms of π​

Volume of the cylinder = 250π inch²

Step-by-step explanation:

Surface area of the cylinder is given by,

Surface area = 4πr²

Here, r = radius of the sphere

Since, surface area = 100π square inches

100π = 4πr²

r² = 25

r = 5

From the picture attached,

Height of the cylinder = diameter of the sphere

                                    = 2(r)

                                    = 2(5)

                                    = 10 inches

Volume of the cylinder is given by,

Volume = πr²h

Here, r = radius of the cylinder

h = height of the cylinder

Therefore, Volume of the cylinder = π(5)²(10)

                                                          = 250π square inches

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!