Solve for indicated side Your Answer: Question 4 options: Answer

Mathematics

1 answer:

morpeh [17]2 years ago

3 0

Answer: x=10

Step-by-step explanation:

Picture below.

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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago

A solid figure with out any base and with only one curved surface

garri49 [273]

A solid figure without any base and with only one curved surface is called a circle

8 0

3 years ago

Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction liters of tea

barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks $5\frac{1}{4}\ liters\$ in 1 hour

Step-by-step explanation:

$Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\$ $\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters$