Question

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches

Answer 1

Complete Question

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.Which of the Following could be used to calculate the volume of water in the vase?

Answer:

$V_w= \pi (3)^2(12) - 8(4/3) \pi(1.5)^3$

Step-by-step explanation:

From the question we are told that:

Diameter of vase $d=6$

Number of marbles $n_m=7$

Diameter of marbles $d_m=3 inch$

Height of water $h_w=12$

 

Generally the equation for Volume of water in cylindrical vase $V_w$ is mathematically given by

 $V_w= \pi r^2h - Volume \, of \, the\, balls$

Where Volume  of  the balls $V_b$ is

 $V_b= 7(4/3) \pi r^3\\\\V_b= 7(4/3) \pi (1.5)^3$

Therefore

$V_w= \pi r^2h - Volume \, of \, the\, balls$

$V_w= \pi (3)^2(12) - 8(4/3) \pi(1.5)^3$