The volume of a sphere is 4/3pi cm^3 what is the diameter of the sphere?

Mathematics

1 answer:

aleksandrvk [35]3 years ago

3 0

The Diameter of sphere is 2cm.

Step-by-step explanation:

Given,

Volume of sphere = $\frac{4}{3}\pi \ cm^3$

Let,

diameter = d

As we know,

Volume of sphere = $\frac{4}{3}\pi \ r^3$

Therefore,

$\frac{4}{3}\pi\ r^3 = \frac{4}{3}\pi \\Multiplying\ both\ sides\ by\ \frac{3}{4\pi }\\\frac{3}{4\pi }*\frac{4}{3}\pi \ r^3 = \frac{4}{3}\pi * \frac{3}{4\pi }\\r^3=1\\(r)^3=(1)^3\\r=1$

We know that,

Diameter = 2r

Diameter = 2*1

Diameter = 2 cm

The Diameter of sphere is 2cm.

Keywords: Volume, Diameter

Learn more about diameters at:

#LearnwithBrainly

You might be interested in

How to do the problem

marta [7]

There are 153 people who each ate 1/4 pounds. Therefore, the amount of watermelon eaten is 153/4 pounds.
The amount of watermelon served is
$8 \frac{1}{4} + 9 \frac{1}{4} + 8 \frac{7}{8} + 9 \frac{5}{8} + 10 \frac{3}{4}$
$= \frac{8 \times 4 + 1}{4} + \frac{9 \times 4 + 1}{4} \\ + \frac{8 \times 8 + 7}{8} + \frac{9 \times 8 + 5}{8} \\ + \frac{10 \times 4 + 3}{4}$
$= \frac{33}{4} + \frac{37}{4} + \frac{71}{8} + \frac{77}{8} + \frac{43}{4} \\ = \frac{33 \times 2}{4 \times 2} + \frac{37 \times 2}{4 \times 2} + \frac{71}{8} \\ + \frac{77}{8} + \frac{43 \times 2}{4 \times 2}$
$= \frac{66 + 74 + 71 + 77 + 86}{8}$
$= \frac{374}{8} = \frac{186}{4}$
There is 186/4 total watermelon. Minus the 153/4 that was eaten,
$\frac{186 - 153}{4} = \frac{33}{4} = 8 \frac{1}{4}$

The leftover watermelon is 8 & 1/4 pounds.

6 0

3 years ago

Jenson has a basket containing oranges, apples, and pears. He picks a piece of fruit from the basket 40 times, replacing the fru

katovenus [111]

Answer:In this question, we're trying to find how many apples Jenson picked from the basket.

Lets gather information that can help us.

Important information:

Picked a fruit from a basket 40 times

Probability of picking an apple is 0.3

With the information above, we can solve the question.

We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.

The probability of picking an apple is 0.3, which is equivalent to 30%