2 years ago

What is the volume of this sphere?

Mathematics

1 answer:

Darina [25.2K]2 years ago

6 0

Answer:

523.59 or 523.60

Step-by-step explanation:

Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)

(r is radius, V is volume)

V= 4/3 x π x r^3

The diameter is 10, so the radius is 5...

V= 4/3 x π x 5^3

V= 4/3 x π x 125

CALCULATER: 4 ÷ 3 x π x 125

Answer 523.59 (523.60 rounded)

You might be interested in

What is the square root of 30 rounded to the 2 decimal places.

umka21 [38]

Answer:

5.48 or 5.477225575 hope this helps

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

State the property or properties illustrated by the statement. 5. 23 + = 23

Ksju [112]

Answer:

23 + 0

Step-by-step explanation:

calculator

3 0

2 years ago

Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago

If sin(2x) = cos(x + 30"), what is the value of x? 20° 30° 500 1100

ivanzaharov [21]

Answer:

2x=(x+30)

2x+x=30

3x=30

x=30÷3

x=10

7 0

2 years ago