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Find the lateral surface area and volume of the cylinder shown to the right.
The lateral surface area is cm2. (Round to the nearest square centimeter.)
The volume is
cm³. (Round to the nearest cubic centimeter.)
47.6 cm
-86.8 cm

Find the lateral surface area and volume of the cylinder shown to the rightThe lateral surface area is cm2 Round to the nearest square centimeterThe volume iscm class=


Answer :

sqdancefan

Answer:

  • area: 25960 cm²
  • volume: 617851 cm³

Step-by-step explanation:

You want the lateral surface area and volume of a cylinder with radius 47.6 cm and height 86.8 cm.

Area

The lateral area of the cylinder is given by ...

  A = 2πrh

  A = 2π(47.6 cm)(86.8 cm) ≈ 25960 cm²

The lateral surface area of the cylinder is about 25960 cm².

Volume

The volume is given by ...

  V = πr²h

  V = π(47.6 cm)²(86.8 cm) ≈ 617851 cm³

The volume of the cylinder is about 617851 cm³.

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