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Work out the volume of this cylinder with dimensions 8cm (radius) and 17cm (height). Give your answer rounded to 1 DP.

a) 343.0 cm^3
b) 214.5 cm^3
c) 1204.1 cm^3
d) 2261.9 cm^3

User BenSwayne
by
8.5k points

2 Answers

6 votes

Answer:

i got 3418.1 (1dp)

Step-by-step explanation:

Work out the volume of this cylinder with dimensions 8cm (radius) and 17cm (height-example-1
User Gcanti
by
8.1k points
4 votes

Final answer:

The volume of the cylinder with a radius of 8 cm and a height of 17 cm is approximately 3417.0 cm³, rounded to one decimal place. This value does not match any of the provided options, suggesting an error in the options or the question's dimensions.

Step-by-step explanation:

To calculate the volume of a cylinder, the formula V = πr²h is used, where V is the volume, r is the radius, and h is the height of the cylinder. Given the dimensions of the cylinder are 8 cm for the radius and 17 cm for the height, we can plug these into the formula:

V = π × (8 cm)² × 17 cm

First, calculate the area of the base (the circle part of the cylinder):

Area = π × (8 cm)² = 3.1416 × 64 cm² ≈ 201.06 cm²

Next, multiply this area by the height to get the volume:

V = 201.06 cm² × 17 cm ≈ 3417.02 cm³

When rounded to one decimal place, the volume is approximately 3417.0 cm³, which is not one of the provided options. Therefore, an error might have occurred in the question's options or in the initial given dimensions. It's important to cross-check with the given options or reconfirm the dimensions.

User Dstr
by
8.0k points
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