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Answer :
To find the area of the base of a cylindrical basket, we can use the formula for the volume of a cylinder:
[tex]\[ \text{Volume} = \pi \times r^2 \times h \][/tex]
Where:
- [tex]\( \pi \)[/tex] is a constant (approximately 3.14159),
- [tex]\( r \)[/tex] is the radius of the base,
- [tex]\( h \)[/tex] is the height of the cylinder.
Since we need to find the area of the base, let's denote it as [tex]\( A \)[/tex] where [tex]\( A = \pi \times r^2 \)[/tex].
Given:
- The volume of the cylinder is 15 cubic feet,
- The height ([tex]\( h \)[/tex]) of the cylinder is 1.5 feet.
From the formula, we know the volume is also equal to the area of the base times the height:
[tex]\[ 15 = A \times 1.5 \][/tex]
To find the area of the base ([tex]\( A \)[/tex]), we can rearrange the formula:
[tex]\[ A = \frac{\text{Volume}}{\text{Height}} \][/tex]
Substitute the given values:
[tex]\[ A = \frac{15}{1.5} \][/tex]
[tex]\[ A = 10 \][/tex]
So, the area of the base of the basket is 10. To the nearest tenth, the area is 10.0.
[tex]\[ \text{Volume} = \pi \times r^2 \times h \][/tex]
Where:
- [tex]\( \pi \)[/tex] is a constant (approximately 3.14159),
- [tex]\( r \)[/tex] is the radius of the base,
- [tex]\( h \)[/tex] is the height of the cylinder.
Since we need to find the area of the base, let's denote it as [tex]\( A \)[/tex] where [tex]\( A = \pi \times r^2 \)[/tex].
Given:
- The volume of the cylinder is 15 cubic feet,
- The height ([tex]\( h \)[/tex]) of the cylinder is 1.5 feet.
From the formula, we know the volume is also equal to the area of the base times the height:
[tex]\[ 15 = A \times 1.5 \][/tex]
To find the area of the base ([tex]\( A \)[/tex]), we can rearrange the formula:
[tex]\[ A = \frac{\text{Volume}}{\text{Height}} \][/tex]
Substitute the given values:
[tex]\[ A = \frac{15}{1.5} \][/tex]
[tex]\[ A = 10 \][/tex]
So, the area of the base of the basket is 10. To the nearest tenth, the area is 10.0.
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