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Pani-rosa [81]
3 years ago
10

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator

was wrong! Help would be greatly appreciated!

Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0

Answer:

V ≈ 3367.6 cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3} πr³ ( r is the radius )

Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

V = \frac{4}{3} × 3.14 × 9.3³

   = \frac{4}{3} × 3.14 × 804.357

   = \frac{4(3.14)(804.357)}{3}

   ≈ 3367.6 cm³ ( to the nearest tenth )

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Find the slope of the line passing through the points (7, -1) and (2, -8).
Ugo [173]

Answer:

\frac{4}{5}

Step-by-step explanation:

We have to use the slope formula: m = slope

(x1, y1) = coordinates of the first point in the line

(x2, y2) = coordinates of the second point in the line

Here, we'll plug into our given points to give; \frac{7--1}{2--8}

Solving this, we get, \frac{8}{10}, but we're not done, as this fraction can be reduced.

Diving both sides of the fraction by 2, we get our final answer of \frac{4}{5}.

8 0
3 years ago
Sandy had an aquarium shaped like a rectangular prism that has a length of 24 inches, a width of 18 inches and a height of 26 in
AURORKA [14]

Answer:

11232 in³

Step-by-step explanation:

24*18*26

4 0
3 years ago
Consider the diagram to the right below and complete the proof below
Zigmanuir [339]

Answer:

The Proof with Statement and Reason are as follow.

A) Reflexive , SAS , CPCTC.

Step-by-step explanation:

Given:

BA ≅ DC

∠BAC ≅ ∠DCA

To Prove:

BC ≅ DA

Proof:

In ΔBCA and ΔDAC

Statement                                                 Reasons

1. BA ≅ DC                                          1. Given

∠BAC ≅ ∠DCA

2. AC ≅ CA                                         2. Reflexive Property

3.  ΔBCA ≅ ΔDAC                              3. S-A-S test

4. BC ≅ DA                                         4. CPCTC

8 0
3 years ago
Read 2 more answers
Which products result in a difference of squares or a perfect square trinomial? Check all that apply.
tiny-mole [99]

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

Step-by-step explanation:

(7x+4)(7x+4)=(7x+4)^2 ( using (a+b)(a+b)=(a+b)^2 )

=(7x)^2+2(7x)(4)+4^2 ( using (a+b)^2=a^2+2ab+b^2 )

=7^2x^2+56x+16

=49x^2+56x+14

Therefore (7x+4)(7x+4)=49x^2+56x+14

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

6 0
3 years ago
Read 2 more answers
What is the area of the circle?<br> (3.14 for pi)
uysha [10]
<h3>Answer:  3215.36 square yards</h3>

Explanation:

The diameter is 64 yards

Divide it in half to get 64/2 = 32 yards as the radius.

Plug it into the formula below to get the area of the circle.

A = pi*r^2

A = 3.14*32^2

A = 3215.36

The area of the circle is approximately 3215.36 square yards.

The area is approximate since pi = 3.14 is approximate.

5 0
2 years ago
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