All categories

3 years ago

Please help me on #18, don't know how to do the question.

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18

<u>Step-by-step explanation:</u>

It is given that, the birthday cake is in the shape of the cylinder.
Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.

<u>The volume of the cylinder is given by,</u>

Volume of the birthday cake = πr²h

After that, it was asked to find the volume of each piece of the cake.

In this case, the birthday cake is cut into 18 pieces.

We already know the total volume of the birthday cake which is πr²h.

In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.

Here, the whole part of the cake is 1.

The number of parts it has been divided after it is made into pieces = 18 parts.

Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.

You might be interested in

Find the area of a circle with a diameter of \color{green}{4}4start color green, 4, end color green. Either enter an exact answe

Oxana [17]

Answer:

the area of the circle is 4π

Step-by-step explanation:

The computation of the area of the circle is shown below:

As we know that

The area of the circle = πr^2

where

diameter = 4

So radius = diameter ÷ 2

= 4 ÷ 2

= 2

Now the area of the circle is

= π × 2^2

= 4π

hence, the area of the circle is 4π

8 0

2 years ago

What is 42 inches to 9 feet is a fraction in simplest form

hodyreva [135]

9 times 12 is 108. so 42/108=21/54

4 0

3 years ago

The local school board needs to choose whether to build an addition to the elementary school library or remodel the

11Alexandr11 [23.1K]

Answer:

A random sample of 10% of all taxplayers

Step-by-step explanation:

Smaller sample sizes may not be representive of the population

7 0

3 years ago

What is the area of the shaded region?

jolli1 [7]

Hello!

<h2>Answer:</h2><h2 />

$\boxed{ \bf The~area~of~the~shaded~region~is~B.~24 mm^2}$

______________________________________________________

<h2>Explanation:</h2>

To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.

Outer:

A = $\frac{1}{2}$ bh

A = $\frac{1}{2}$ (12 · 5)

A = $\frac{1}{2}$ (60)

A = 30 mm²

Inner:

A = $\frac{1}{2}$ bh

A = $\frac{1}{2}$ (4 · 3)

A = $\frac{1}{2}$ (12)

A = 6

30 - 6 = 24

7 0

2 years ago

Sin(Sin^-1 x)=x for -1<=x<=1. True or false?

Umnica [9.8K]

Answer:

True

Step-by-step explanation:

In general, when you compose a function $f(x)$ with its inverse $f^{-1}(x)$ , you always get the identity function:

$f(f^{-1}(x))=x$

The limitation $-1\leq x \leq 1$ is necessary because the arcsin function wouldn't be defined otherwise.

5 0

2 years ago