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Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha

Fittoniya [83]

Answer:

"A is smaller"

Step-by-step explanation:

The full question is attached.

Surface area of cylinder:

The formula is $SA=2\pi r^2 + 2\pi r h$

where r is the radius and h is the height

Here, radius would be 30 since balls have diameter 60 and radius is half of that.

Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240

Now, plugging into the formula, we get:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (30)^2 + 2\pi (30) (240)\\SA=50,868$

Surface Area of rectangular prism:

The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).

Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800

Area of 2 sides = 2 * (60*120) = 14,400

Area of front and back = 2 * (60*120) = 14,400

Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600

Thus, cylinder has smaller surface area.

"A is smaller"

7 0

3 years ago

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The three sides of a triangle measure 8,10 and 12 units. Is this a right triangle? Prove whether it is or not using the converse

kvasek [131]

Answer:

square of longest side ≠ the sum of the squares of the other two sides

It's not a right triangle

Step-by-step explanation:

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

square of longest side: 12 12² = 144

the sum of the squares of the other two sides: 8² + 10² = 164

4 0

3 years ago

Identify the correct corresponding parts

andrey2020 [161]

Answer:

The correct corresponding part is;

$\overline {CB}$ ≅ $\overline {CD}$

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment $\overline {CA}$ is congruent to $\overline {CE}$ ( $\overline {CA}$ ≅ $\overline {CE}$ )

Segment $\overline {CB}$ is congruent to $\overline {CD}$ ( $\overline {CB}$ ≅ $\overline {CD}$ )

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment $\overline {AB}$ is congruent to $\overline {DE}$ ( $\overline {AB}$ ≅ $\overline {DE}$ ) by CPCTC

Segment $\overline {AE}$ bisects $\overline {BD}$

Segment $\overline {BD}$ bisects $\overline {AE}$

Therefore, the correct option is $\overline {CB}$ ≅ $\overline {CD}$

3 0

3 years ago

Can anyone help me Please and thankyou? Been struggling for 20minutes

schepotkina [342]

There is an app that will help for these types of questions called, "Showmath."

5 0

3 years ago

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Find q if p = -12 and the quotient p/q = -3.

Klio2033 [76]

Answer:

The answer is B) 4

Explanation:

A negative times a negative equals a positive so options A and C are wrong.

-12 divided by 1/4 equals -48

7 0

3 years ago

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