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butalik [34]
3 years ago
13

How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?

Mathematics
2 answers:
vredina [299]3 years ago
8 0
Oh yay, proportional thinking! (Vicious sarcasm). Alright, let's do this:

<span>Volume of the cylinder = </span><span>π(h)r^2
New volume = </span><span>π(h/3)(4r)^2
= (1/3)</span><span>π(h)(16r^2)
=16*(1/3)</span><span>π(h)r^2
=(16/3)</span><span>π(h)r^2

Therefore, it's D. Though it's spelled pi, and you should really use the ^ symbol. </span>
strojnjashka [21]3 years ago
8 0
Hello there.

<span>How does the volume of a cylinder change if the radius is quadrupled and the height is reduced to a third of its original size?

</span><span>D. v= 16/3 pie r^2 * h</span>
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The price of a house decreased from $500,000 to $400,000 in one year. What is the percent decrease?
-BARSIC- [3]

Answer:

A) 20%

Step-by-step explanation:

A) ✅

500000(0.2) = 100,000

500000 - 100,000 = 400,000

B) ❌

500000(0.25) = 125,000

500000 - 125,000 = 375,000

C) ❌

500000(0.3) = 150,000

500000 - 150,000 = 350,000

D) ❌

500000(0.35) = 175,000

500000 - 175,000 = 325,000

6 0
3 years ago
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A gardener planted some seedlings at equal distances apart along a straight road. The 3rd seedling and the 5th seedling were 9/1
ratelena [41]

Answer:

Answer:

17 seedlings

Step-by-step explanation:

Given;

The seedlings are at an equal distance in a straight line.

Distance between 3rd seedling and 5th seedling = 9/10 m

So, distance between 3rd seedling and 4th seedling = 9/10 ÷ 2 = 9/20 m

So, the distance between two seedlings in a line = 9/20 m

The given distance between 2nd seedling and the last seedling = 6 3/4 m = 27/4 m

8 0
2 years ago
D) Round 0.00208815 to 3 significant figures.
Lostsunrise [7]

Answer:

= 0.00209

Step-by-step explanation:

8 0
3 years ago
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The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area
Genrish500 [490]

Answer:

The surface area of the gift box is = A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

Step-by-step explanation:

The surface area of the cylinder can be calculated using this formula:

A=2\pi rh+2\pi r^2

in this case, r is not a number, but rather an expression, which is r = 3x +1.

The height of the gift box is twice the radius, which is h = 2(3x+1)= 6x+2

To get our curved surface area, we carefully put the expressions for h and r into the equation.

A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}

A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}

A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}

A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

The surface area of the gift box is = A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}

5 0
3 years ago
What is the inverse of the function f(x) = x + 2?
wolverine [178]
Turn f(x) into y so the equation is y=x+2. Now switch their places so it is x=y+2. Now solve for y. The answer is y=x-2.
8 0
3 years ago
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