The expression
r2h represents the volume of a cylinder with radius r and height h. What is the volume, to the nearest tenth of a cubic inch, of the juice can below? Use 3.14 for ℼ.
h 5.3 in
r 1.2 in
To find the volume of the juice can, we can use the formula V = πr^2h.
Given that:
r = 1.2 in
h = 5.3 in
Substituting these values into the formula, we get:
V = 3.14 * (1.2^2) * 5.3
Simplifying:
V = 3.14 * 1.44 * 5.3
V = 22.71776 cubic inches
Rounding this to the nearest tenth, we get a volume of approximately 22.7 cubic inches.
To calculate the volume of the juice can, we can use the formula for the volume of a cylinder: V = πr²h.
Given:
h = 5.3 in
r = 1.2 in
π = 3.14
Substitute these values into the formula:
V = 3.14 * (1.2 in)² * 5.3 in
Now, we can solve this expression step by step:
Step 1: Calculate the square of the radius:
1.2 in * 1.2 in = 1.44 in²
Step 2: Multiply the square of the radius by the height:
1.44 in² * 5.3 in = 7.632 in³
Step 3: Multiply this result by π:
7.632 in³ * 3.14 = 23.96368 in³
Step 4: Round the result to the nearest tenth:
The volume of the juice can is approximately 23.96 cubic inches.