A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 8 inches. Which of the following could be used to calculate the volume of water in the vase?

π(2in)2(8in) − 6( four over three π(1.5in)3)

π(8in)2(2in) − 6( four over three π(1.5in)3)

π(2in)2(8in) − 1.5( four over three π(6in)3)

π(8in)2(2in) − 1.5( four over three π(6in)3)

Step-by-step explanation:

Volume of water = Volume of cylinder up to 8 in - volume of marbles

Volume of cylinder:

Marbles are spheres and the volume of a sphere:

So the volume of water is:

Correct option is A

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet