Math  /  Geometry

QuestionWork out the volume of the cylinder below. If your answer is a decimal, give it to 1 d.p.

Studdy Solution

STEP 1

1. The cylinder has a circular base.
2. The area of the circular base is 18m2 18 \, \text{m}^2 .
3. The height of the cylinder is 16m 16 \, \text{m} .

STEP 2

1. Recall the formula for the volume of a cylinder.
2. Substitute the given values.
3. Calculate the volume and round to 1 decimal place.

STEP 3

Recall the formula for the volume of a cylinder:
V=Base Area×Height V = \text{Base Area} \times \text{Height}

STEP 4

Substitute the given values into the formula:
V=Base Area×Height V = \text{Base Area} \times \text{Height} =18m2×16m = 18 \, \text{m}^2 \times 16 \, \text{m}

STEP 5

Calculate the product:
V=18m2×16m V = 18 \, \text{m}^2 \times 16 \, \text{m} =288m3 = 288 \, \text{m}^3
Since the answer is already a whole number, no rounding is necessary.
The volume of the cylinder is:
288.0m3 \boxed{288.0 \, \text{m}^3}

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