Math  /  Algebra

QuestionBUSINESS A Mason jar company wants to increase the volume of its cylindrical jars by 6 cubic inches. The company's designer wants a formula that states the height hh of a jar given its volume VV and radius rr. The volume of a cylindrical jar is modeled by the equation V=πr2hV=\pi r^{2} h. Part A What formula should be used to find the height hh ? A. h=πr2h=\pi \cdot r^{2} B. h=Vπrh=\sqrt{\frac{V}{\pi r}} C. h=Vπr2h=\frac{V}{\pi r^{2}} D. h=Vr2h=\frac{V}{r^{2}}
Part B If the radius of the jar is 1.5 inches and the original volume is 30 cubic inches, then what height should the company make its new jar to increase the volume by 6 cubic inches?

Studdy Solution
Calculate the height: h=362.25π367.06865.09 h = \frac{36}{2.25\pi} \approx \frac{36}{7.0686} \approx 5.09
The new height should be approximately: 5.09 inches \boxed{5.09 \text{ inches}}

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