Find the volume of the cylinder. Give you answers both in terms of π and rounded to the nearest tenth.

a cylinder with base area 24π cm2 and the height 19 cm

The volume of the cylinder is
π cm3 which is approximately
cm3.

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Height = 19 cm

Since the base area is 24π cm², we would determine its radius by applying the formula,

Area of circle = πr²

24π = πr²

r² = 24

r = √24

Therefore,

Volume of cylinder = π × (√24)² × 19 = 456π cm³

It is approximately

456 × 3.14 = 1431.8 cm³

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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step-by-step explanation:

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