Question

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.

What is the radius of the grape? Round to the nearest tenth of a centimeter.

1.0 cm
1.5 cm
1.9 cm
2.1 cm

Answer 1

@jim_thompson5910

Answer 2

`The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.`

your equation got cut off. It just says `V = ` and nothing after the equal sign

Answer 3

Okay hold on

Answer 4

ok so first we need the volume V

m = 8.4
d = 2
V = ???

use the formula given

Answer 5

its 4.2

Answer 6

yes V = 4.2

Answer 7

This is the volume of a sphere. We now turn to the formula for the volume of a sphere

\[\Large V = \frac{4}{3}\pi*r^3\]

something you should have in your notes, on a notecard, on a reference sheet, or have it memorized

Answer 8

plug in V = 4.2 and then solve for r

Answer 9

yeah i know

Answer 10

i got 98.784 pi

Answer 11

\[\Large V = \frac{4}{3}\pi*r^3\]
\[\Large 4.2 = \frac{4}{3}\pi*r^3\]
\[\Large 3*4.2 = 3*\frac{4}{3}\pi*r^3\]
\[\Large 12.6 = 4\pi*r^3\]
\[\Large \frac{12.6}{4\pi} = \frac{4\pi*r^3}{4\pi}\]
\[\Large \frac{12.6}{4*3.14} = r^3\]
I'll let you finish up

Answer 12

What do I put in the calcuator

Answer 13

you need to evaluate the left side first, so evaluate `12.6/(4*3.14)`

Answer 14

i got 3.15/pi

Answer 15

now use a calculator to evaluate 3.15/pi

Answer 16

thank you

Answer 17

you then have to take the cube root of both sides but it sounds like you found the answer already