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A vase with a circular base exerts a force of 15 N on a table with a pressure of 700 N/m2.
Find the radius of the base of the vase in cm to 2 dp.

Sagot :

Eduard22slyidn

The radius of the base of the vase in cm is 8.26 cm

How to determine the area

  • Force (F) = 15 N
  • Pressure (P) = 700 N/m²
  • Area (A) =?

P = F / A

700 = 15 / A

Cross multiply

700 × A = 15

Divide both sides by 700

A = 15 / 700

Multiply by 10000 to express in cm²

A = (15 / 700) × 10000

A = 214.29 cm²

How to determine the radius

  • Area (A) = 214.29 cm²
  • Pi (π) = 3.14
  • Radius (r) = ?

A = πr²

Divide both side by π

r² = A / π

Take the square root of both sides

r = √(A / π)

r = √(214.29 / 3.14)

r = 8.26 cm

Learn more about pressure:

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