Calculate the volume of a cylinder with a radius 70cm and height of 100cm use π=22/7.

Mathematics

ScanSolve AI Answer

Answer

154000 cm3\text{154000 cm}^3

Step-by-step solution

3 steps
  1. Write the formula for the volume of a cylinder.

    The volume VV of a cylinder is given by the formula:

    V=πr2hV = \pi r^2 h

    where rr is the radius and hh is the height.

  2. Substitute the given values into the formula.

    Given r=70r = 70 cm, h=100h = 100 cm, and π=227\pi = \frac{22}{7}.

    V=227×(70 cm)2×(100 cm)V = \frac{22}{7} \times (70 \text{ cm})^2 \times (100 \text{ cm})
  3. Calculate the volume.

    V=227×(4900 cm2)×(100 cm)V = \frac{22}{7} \times (4900 \text{ cm}^2) \times (100 \text{ cm}) V=22×49007 cm3V = 22 \times \frac{4900}{7} \text{ cm}^3 V=22×700 cm3V = 22 \times 700 \text{ cm}^3 V=154000 cm3V = 154000 \text{ cm}^3

    The volume of the cylinder is 154000 cm3\text{154000 cm}^3.

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