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

the circumference of a circle is, 10.676 cm.

step-by-step explanation:

the formula for circumference of a circle is given by:

where

c is the circumference of a circle and

d is the diameter of a circle.

given: diameter(d) = 3.4 cm and use

substitute these values in [1] we get;

cm

therefore, the circumference of a circle is, 10.676 cm

96 cm is the answer.