Question

answer the question below. type your response in the space provided. what is the height of the cylinder in the diagram? round your answer to the nearest whole number. done clear incorrect. substituting the values v = 904.78 cm³ and r = 6 cm in the formula v = π r²h, you get 904.78 = π × 6² × h. it follows that h = 8 units. enter the correct answer.

Explanation:

Step1: Write the formula for the volume of a cylinder

The volume formula of a cylinder is \( V=\pi r^{2}h\), where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(V = 904.78\space cm^{3}\) and \(r = 6\space cm\), substitute into \(V=\pi r^{2}h\). We get \(904.78=\pi\times6^{2}\times h\). Since \(\pi\approx3.14\), then \(904.78 = 3.14\times36\times h\).

Step3: Simplify the right - hand side of the equation

Calculate \(3.14\times36=113.04\). So the equation becomes \(904.78 = 113.04h\).

Step4: Solve for \(h\)

Divide both sides of the equation by \(113.04\): \(h=\frac{904.78}{113.04}\approx8\)

Answer:

\(8\)