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2 years ago

9

A car completes a journey in 10 minutes. For the first half of the distance the speed was 60km/h and for the second half the spe

ed was 40 km/h. How far is the journey?

1 answer:

spin [16.1K]2 years ago

4 0

100km long thats how long the journey was

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A cone has a volume of 50π in3 and a diameter of 10 in. Wilson states that a cylinder with the same height and diameter has the

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Answer:

A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ; therefore, Wilson is incorrect ⇒ last answer

Step-by-step explanation:

* Lets revise the volume of the cone and the cylinder

- The volume of cone is 1/3 πr²h, where r is its radius and h is its height

- The volume of the cylinder is πr²h

* Lets solve the problem

∵ The cone has a volume 50π inches³

∵ The diameter of the cone is 10 inches

∵ The diameter is twice the radius

∴ 2r = 10 ⇒ divide both sides by 2

∴ r = 5

∵ The rule of the volume of the cone = 1/3 πr²h

∴ 50π = 1/3 π (5²)h

∵ 50π = 1/3 (25π)h ⇒ divide both sides by 25π

∴ 2 = 1/3 h ⇒ multiply both sides by 3

∴ 6 = h

∴ The height of the cone is 6 inches

- The cylinder has the same diameter and the same height of the cone

∵ The diameter of the cone = 10 inches

∵ The height of the cone = 6 inches

∴ The diameter of the cylinder is 10 inches

∴ The height of the cylinder is 6 inches

∵ The rule of the volume of the cylinder is πr²h

∵ The radius of the cylinder = 10/2 = 5 inches

∴ The volume of the cylinder = π(5²)(6) = 150π inches³

* The volume of the cylinder not equal the volume of the cone

∴ A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ;

therefore, Wilson is incorrect.

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2 years ago

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How can you find the areas of the faces of the prism

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Answer:

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Step-by-step explanation:

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Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence

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Answer:

increasing sequence of +7

Step-by-step explanation:

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How do i divide using polynomial long division

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1.divide the first term of the numerator by the first team of the denominator, and put that in the answer
2. Multiply the denominator by that answer, put that below the numerator
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2 years ago

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator

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ANSWER
$V=254.47in^3$

EXPLANATION

The volume of a cylinder is given by the formula:

$V=\pi \: {r}^{2} h$

The given cylinder has diameter 6. This means that, the radius is

$r = \frac{6}{2}$

$r = 3cm$

The is height is

$h = 3r$

$h = 3(3) = 9cm$

We substitute the values into the formula to obtain;

$V=\pi \: {3}^{2} \times 9$

$V=81\pi$

$V=254.46900494$

The volume is $254.47in^3$ to the nearest hundredth

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2 years ago

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