Explain your answer <br> 49= X/7

Surface area of a sphere is 615.752 m2, what is the volume of the sphere?

const2013 [10]

B

the volume (V) of a sphere = $\frac{4}{3}$ πr³

We require to know the radius r to calculate the volume

using surface area of a sphere = 4πr² = 615.752

divide both sides by 4π

r² = $\frac{615.752}{12.56}$ = 49.0248...

take the square root of both sides

r = $\sqrt{49.0248..}$ ≈ 7, hence

V= $\frac{4}{3}$ × π × 7³ = 1436.76 m³ → B

8 0

3 years ago

A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour

elena-s [515]

3 hours

On the way there, 1.5x12 = 18
On the way back, 1.5x10 = 15

4 0

3 years ago

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PLEASE HELP: The mass of a ball is 128 g. It has a density of 0.5 g/cm³. What is the volume of the ball? Show your work and plac

tiny-mole [99]

Answer:

Part 1) The volume of the ball is 256 cm³

Part 2) The radius of the ball is 3.94 cm

Step-by-step explanation:

Part 1) we know that

The density is equal to divide the mass by the volume

D=m/V

Solve for the volume

The volume is equal to divide the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Part 2) what is the radius of the ball?

we know that

The volume of the sphere (ball) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=256\ cm^{3}$

assume

$\pi =3.14$

substitute and solve for r

$256=\frac{4}{3}(3.14)r^{3}$

$768=(12.56)r^{3}$

$r^{3}=768/(12.56)$

$r=3.94\ cm$

7 0

3 years ago

A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side

mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

$x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87$

3 0

3 years ago

MAKE YOU THE BRAINLIEST EASY QUESTION Show the formula for finding the area of a triangle. Then find the area of a right triangl

lesya692 [45]

Answer:

Formula to find the area of a triangle is 1/2(bxh). The area of the right triangle is 28.

Step-by-step explanation:

To solve this problem you would plug in the base and height into the formula and follow the order of operations (P.E.M.D.A.S). So the equation would then read 1/2(5x11.2). Once you solve inside the parenthesis, the equation then reads, 1/2(56). Then you solve what half of 56 is, which is 28.

I hoped this helped you!

6 0

3 years ago

Read 2 more answers

Explain your answer 49= X/7