Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
1. Volume = 84 in.^3
r = 6 in.
h = ?
2. Volume = 650 cm^3
r = 8 cm
h = ?
To find the missing dimension (height) of the cylinder, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
1. For the first question:
Given:
Volume = 84 in.^3
Radius (r) = 6 in.
We can substitute these values into the formula and rearrange it to solve for the missing height (h):
84 in.^3 = π * (6 in.)^2 * h
To solve for h, divide both sides of the equation by π * (6 in.)^2:
h = 84 in.^3 / (π * (6 in.)^2)
Using an approximation for π as 3.14159 and performing the calculations:
h ≈ 84 / (3.14159 * 36)
h ≈ 0.76929 in.
Rounding the result to the nearest whole number, the missing height is approximately 1 inch.
2. For the second question:
Given:
Volume = 650 cm^3
Radius (r) = 8 cm
Similarly, we can substitute the given values into the formula for the volume of a cylinder:
650 cm^3 = π * (8 cm)^2 * h
To find h, we can isolate it by dividing both sides of the equation by π * (8 cm)^2:
h = 650 cm^3 / (π * (8 cm)^2)
Using an approximation for π and performing the calculation:
h ≈ 650 / (3.14159 * 64)
h ≈ 3.213 cm
Rounding the result to the nearest whole number, the missing height is approximately 3 cm.
84 = pi * 36 * h
now just solve for h
same for the other