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2 years ago

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Mathematics

1 answer:

n200080 [17]2 years ago

5 0

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

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A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use

USPshnik [31]

Find the area of the top, which is a circle.

Area of a circle = pi x r^2

Area = 3.14 x 1.5^2 = 7.065

Now for the volume multiply the area of the top by the height:

7.065 x 12 = 84.78 cubic inches

Round to the nearest tenth: 84.8 cubic inches

8 0

2 years ago

Read 2 more answers

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

2 years ago

There are 90 new houses being built in a neighborhood. Last month, 13 of them were sold. This month, 15 of the remaining houses

Tcecarenko [31]

62 because 90 minus 15, minus 13, is equal to 62

8 0

3 years ago

Read 2 more answers

Brainlyyyyyyyyyyyyyy :)

Rashid [163]

Wow, that IS really BRAINLY! I’m so jealous

6 0

3 years ago

Mr. I.C green wanted to plant a brand new yard. His yard was 17 yards by 8 yards. What was the area of his yard?

Free_Kalibri [48]

Answer:

17 x 8= 136 ft

Step-by-step explanation:

5 0

3 years ago