Respuesta :
The height must be 12.8.
We first find the volume of paint in the larger can. The formula for the volume of a cylinder is V=πr²h. Using the radius and height of the large can, we have
V=3.14(8²)(20) = 4019.2
Since he has 1/4 of the can left, he has 4019.2/4 = 1004.8 cm³ of paint.
Using this volume and the dimensions of the smaller can, we work backward to find the height of the paint in the can:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h
We first find the volume of paint in the larger can. The formula for the volume of a cylinder is V=πr²h. Using the radius and height of the large can, we have
V=3.14(8²)(20) = 4019.2
Since he has 1/4 of the can left, he has 4019.2/4 = 1004.8 cm³ of paint.
Using this volume and the dimensions of the smaller can, we work backward to find the height of the paint in the can:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h
Answer:
12.8 khan
right
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Step-by-step explanation:
