The surface area of a cube is 294 cm2. Which statements are true about the same cube measured in square millimeters? Choose all answers that are correct. A. The number representing the surface area would decrease. B. The number representing the surface area would increase. C. The actual surface area would decrease. D. The actual surface area would increase. E. The actual surface area would stay the same.

Answer:

there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

The volume of the sphere will be 0.52 cubic mm. Then the correct option is C.

What is the volume of the sphere?

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The expression is given below.

Where r is the radius of the sphere and V is the volume of the sphere.

A beverage manufacturer performs a taste test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.5 mm.

The expression is solved for V, then the equation will be

Then the volume of the sphere will be

V = (4/3) × π × 0.5³

V = 0.52 cubic mm

Thus, the volume of the sphere will be 0.52 cubic mm.

Then the correct option is C.

More about the volume of the sphere link is given below.

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Answer with explanation:

Radius of the Bubble = 0.5 mm

Volume of the bubble is given by the formula

Taking cube on both sides

Gives,→ V=0.52 mm³(approx)

Option C: about 0.52 mm³

The sum of the first six terms of the geometric series will be -364. Hence, option (B) will be correct.

What is geometric series?

A geometric series is a series in which the division of any consecutive two terms will be the same.

For example 3, 6, 12, 24 here if you divide 6 by 3 then it gives you 2, and if you divide 12 by 6 then also it gives you 2, and so on.

Given up series is 2, – 6, 18, – 54

The common ratio of this GP is -3 by that

The remaining elements of this gp will be 162, -486

So the sum will be 2 - 6 + 18 - 54 + 162 - 486 = -364 so it will the summation of the given gp.

For more about geometric series

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Answer:

the answer is -364

Step-by-step explanation: