Question

Three cylinders have a volume of 2836 cm^3. Cylinder A has a height of 900 cm. Cylinder B has a height of 225 cm. Cylinder C has a height of 100 cm. Find the radius of each cylinder. Use 3.14 as an approximate for π

Answer 1

Ra = 1 cm , Rb = 2cm and Rc = 3 cm

Explanation:

In the given data you've missed one word:

"Three cylinders have a volume of 2836 cm^3 each "

According to this we have:

V₁ = V₂ = V₃ = V = 2836 cm³, Ha = 900 cm, Hb = 225 cm and Hc = 100 cm and π ≈ 3.14

Formula for calculating volume is:

V = B · H, where B is base of the cylinder and H is height of the cylinder.

Ba = V / Ha = 2836 / 900 = 3.15 cm²

Ba = Ra² · π ⇒ Ra² = Ba / π = 3.15 / 3.14 ≈ 1 cm² ⇒ Ra = √1 = 1 cm

Ra = 1 cm

Bb = V / Hb = 2836 / 225 = 12.6 cm²

Bb= Rb² · π ⇒ Rb² = Bb / π = 12.6 / 3.14 ≈ 4 cm² ⇒ Rb = √4 = 2 cm

Rb = 2 cm

Bc = V / Hc = 2836 / 100 = 28.36 cm²

Bc = Rc² · π ⇒ Rc² = Bc / π = 28.36 / 3.14 ≈ 9 cm² ⇒ Rc = √9 = 3 cm

Rc = 3 cm

God with you!!!