Question

Знайдіть висоту циліндра, об'єм якого дорівнює 98п см, а радіус основи - 7 см

Answer 1

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Answer 2

Finding the Height of a Cylinder

To find the height of a cylinder when the volume and the radius of the base are known, you can use the formula for the volume of a cylinder and solve for the height.

Step 1: Volume of a Cylinder The formula for the volume of a cylinder is given by: \[ V = \pi r^2 h \] Where: - \( V \) = Volume - \( \pi \) (pi) is approximately 3.14159 - \( r \) = Radius of the base - \( h \) = Height of the cylinder

Step 2: Rearranging the Formula We can rearrange the formula to solve for the height: \[ h = \frac{V}{\pi r^2} \]

Step 3: Calculating the Height Substitute the given values into the formula to find the height: \[ h = \frac{98\pi}{\pi \times 7^2} \] \[ h = \frac{98}{7^2} \] \[ h = \frac{98}{49} \] \[ h = 2 \, \text{cm} \]

Conclusion The height of the cylinder, when the volume is 98π cm³ and the radius of the base is 7 cm, is 2 cm.