All categories

2 years ago

I need help on number 10 urgently.

Mathematics

2 answers:

grigory [225]2 years ago

6 0

Answer: Option A. 288 cubic inches

uranmaximum [27]2 years ago

4 0

The formula for the volume of a cylinder is

V = π · R² · Height .

The formula for the volume of a sphere is

V = 4/3 · π · R³ .

We know the volume of the cylinder, so let's work with that formula, and see if we can squeeze anything out of it that can help us with the sphere.

Cylinder: V = π · R² · Height .

Wow ! Look at the picture for a second ! The radius of the cylinder is the same as the radius of the sphere, AND the height of the cylinder is double the radius ! This should really help.

Cylinder: V = π · R² · (2R) .

V = π · (2R³)

But we know the volume of the cylinder. It's 432π inch³ .

432π in³ = π · 2R³

Divide each side by 2 :

π R³ = 216 in³

We could use this to find the radius, but why bother ? Why not just keep (π R³) and stuff it straight into the formula for the volume of the sphere ! ?

Sphere: V = 4/3 · (π · R³)

V = 4/3 · (216 in³)

V = (4/3 · 216) in³

V = 288 in³

Ahhh ... the sweet feeling of knowing that you're right !

You might be interested in

7(y+3)=5y+8 Is this A.Solution B.No Solution C. Infinite Solution

faust18 [17]

First, let's use the Distributive Property to make our equation easier to solve. Remember that the Distributive Property says the following:

$a(b + c) = ab + ac$

Using this, we can multiply the 7 out to the $y$ and 3. This gives us:

$7y + 21 = 5y + 8$

Now, let's solve for $y$ :

$2y + 21 = 8$

$2y = -13$

$y = - \dfrac{13}{2}$

We can see that there is one solution for this equation because $y$ is equal to one definite value after solving. Thus, our answer is A, one solution.

3 0

3 years ago

Oksana_A [137]

Answer:

Step-by-step explanation:

because there are numbers involved

5 0

2 years ago

A halogen-lighting manufacturer packs 64 halogen lamps ink a cube-shaped container. the manufacturer has been asked by his distr

sashaice [31]

If the original container can hold 64 halogen lamps and the new container can hold 8 lamps, then
64/8 = 8
There will 8 smaller containers needed to pack all of the 64 lamps from the original large cubed-shaped container.

7 0

3 years ago

Rashid solved a fraction division problem using the rule “multiply by the reciprocal.” His work is shown below.

taurus [48]

Rashid solved the problem correctly

7 0

2 years ago

Lexi picked 2 7/10 pounds of strawberries. That afternoon, Lexi’s sister ate 7/8 of the strawberries. How many pounds of strawbe

gavmur [86]

3 $\frac{3}{35}$ pound of strawberry