Follow the rules for working with measurements. A technician draws plans for a $30 \overline { 0 } , 000$ -gallon cylindrical tank with radius 20 ft. What should the height be? (1 ft³ = 7.48 gal) A) 7.98 ft B) 63.8 ft C) 16 ft D) 31.9 ft E) 319 ft

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Quizplus · Accepted Answer

The volume of a cylinder is given by $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height. We are given that $V = 300000$ gal, $r = 20$ ft, and $1$ ft³ = 7.48 gal. So, we can convert the volume to cubic feet:$$V = 300000 \text{ gal} \left( \frac{1 \text{ ft}^3}{7.48 \text{ gal}} \right) = 40126.86 \text{ ft}^3$$Now we can solve for $h$:$$40126.86 \text{ ft}^3 = \pi (20 \text{ ft})^2 h$$$$h = \frac{40126.86 \text{ ft}^3}{\pi (20 \text{ ft})^2} = 31.9 \text{ ft}$$

Follow the Rules for Working with Measurements 300‾,00030 \overline { 0 } , 000300,000

Follow the Rules for Working with Measurements $30 \overline { 0 } , 000$