Answered

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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