All categories

3 years ago

Please help... What is the exact volume of the sphere?

Mathematics

1 answer:

Stels [109]3 years ago

5 0

Answer:

$\large\boxed{V=366.16\pi\ ft^3}$

Step-by-step explanation:

$\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\\text{We have}\ R=6.5\ ft.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6.5)^3=\dfrac{4}{3}\pi(274.625)=\dfrac{1098.5}{3}\pi\approx366.16\pi\ ft^3$

You might be interested in

Convert f(x) = 5x(x – 6) to standard form

Pavlova-9 [17]

Answer:

$5x^{2} - 30x$

Step-by-step explanation:

6 0

2 years ago

Adam bought three laptops for his office at a total cost $1,300. The shopkeeper tried to sell Adam some upgrades and accessories

borishaifa [10]

The first is 500 the second 2 are 400

6 0

3 years ago

Read 2 more answers

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?

Stella [2.4K]

Answer:

f(x) = 3x² - 15x + 12

Step-by-step explanation:

Given f(x) has roots x = a and x = b, then

(x - a) and (x - b) are the factors

f(x) is then the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

Given roots are x = 4 and x = 1, then

(x - 4) and (x - 1) are the factors

With a = 3, then

f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL

= 3(x² - 5x + 4) ← distribute

= 3x² - 15x + 12

7 0

3 years ago

Read 2 more answers

Write an absolute value equation that has the solutions x=−6 and x=10

Dimas [21]

$x^{2} +6x-60=0$

3 0

3 years ago

Need HELP PLS PIC ATTACHED

Vera_Pavlovna [14]

Answer:

$4x^{2}$ -13x+10

Step-by-step explanation:

(4x+5)(x-2)

Multiply each term in the first parenthesis by each term in the second (foil)

Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)

When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2

Step 2: Calculate product

4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like $4x^{2}$ )

$4x^{2}$ +4x⋅-2-5x-5⋅-2

$4x^{2}$ +4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)

$4x^{2}$ -8x-5x-5⋅-2

$4x^{2}$ -8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)

$4x^{2}$ -8x-5x+10

Step 3: collect like terms

$4x^{2}$ -8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)

$4x^{2}$ -13x+10 is the most simplified so it should be your final answer

4 0

10 months ago