7. A cylindrical basket has a volume of 15 cubic feet. If the height of the basket is 1.5 feet, what is the area of the base of the basket?
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To find the area of the base of the basket, you'll need the formula for the volume of a cylinder, which is given by \( V = A_b \times h \), where \( V \) is the volume, \( A_b \) is the area of the base, and \( h \) is the height. Rearranging gives you \( A_b = \frac{V}{h} \). In your case, you have \( V = 15 \) cubic feet and \( h = 1.5 \) feet. Plugging in those values, you get \( A_b = \frac{15}{1.5} = 10 \) square feet. The area of the base of the basket is 10 square feet. Now, if you wanted to take this learning further, imagine using this knowledge to create a similar basket for a picnic! You can calculate how much stuff you can fit in it and even plan a fun food arrangement. Happy picnicking!