All categories

3 years ago

Trayvon has a mug shaped like a hemisphere. Its diameter is 18 cm. To the nearest hundredth, what is the capacity of her mug?

Mathematics

1 answer:

bulgar [2K]3 years ago

6 0

Answer:

The capacity of the mug is 1,527.43 cm^3

Step-by-step explanation:

In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.

A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.

Mathematically, the volume of a hemisphere V = 2/3 * π * r^3

Since D = 18cm , r = D/2 = 18cm/2 = 9 cm

The volume V is thus = 2/3 * 22/7 * 9^3

V = 1,527.428 cm^ 3

To the nearest hundredth,

V = 1,527.43 cm^3

You might be interested in

To make a certain shade of paint, Anya mixed 2/3

Jlenok [28]

Answer:

4 cups

Step-by-step explanation:

it should be 4 cups

4 0

3 years ago

What is the sum of 2/10 and 9/100

zhannawk [14.2K]

First we need to find a common denominator

$\frac{2}{10}$ = $\frac{20}{100}$
now we can add them

$\frac{20}{100}$ + $\frac{9}{100}$ = $\frac{29}{100}$

5 0

3 years ago

Read 2 more answers

Peach paint is 1 part yellow to 3 parts

katrin2010 [14]

Answer:

8/3

Step-by-step explanation:

3 parts yellow to 2 parts red

4 parts yellow to x parts red

x=4*2/3 =8/3 parts red.

If it is right then there you go

8 0

2 years ago

A tire company finds that the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a stan

Illusion [34]

Answer:

42580 miles

Step-by-step explanation:

Mean = $\mu = 47500$

$\sigma = 3000$

The manufacturer does not want to replace more than 5% of the tires

$P(X\leq x)=5\%$

$P(\frac{x-\mu}{\sigma}\leq \frac{x-47500}{3000})=0.05$

By using normal table values :

$\frac{x-47500}{3000}=-1.64$

$x=(-1.64 \times 3000)+47500$

$x=42580$

Hence the approximate number of miles for the warranty is 42580 miles

6 0

3 years ago

8^−2xa^7 simplified math assignment

Delvig [45]

Uh I don’t understand

5 0

3 years ago