find the volume of sphere whose radius is root 3
Answers
Answered by
8
This is the equation: V = ⁴⁄₃πr³ . In this
equation, "V" represents volume and "r"
represents the radius of the sphere.
Find the radius. If you're given the
radius, then you can move on to the
next step. If you're given the diameter,
then you can just divide it by two to get
the radius. Once you know what it is,
write it down. Let's say the radius we're
working with is 1 inch (2.5 cm). [1]
If you're only given the surface area
of the sphere, then you can find the
radius by finding the square root of
the surface area divided by 4π. In
that case, r = root (surface area/4π)
Cube the radius. To cube the radius,
simply multiply it by itself thrice, or
raise it to the third power. For example, 1
inch 3 is really just 1 inch (2.5 cm) x 1 inch
(2.5 cm) x 1 inch (2.5 cm). The result of 1
inch 3 is really just 1, since 1 multiplied by
itself any number of times will be 1. You'll
reintroduce the unit of measurement,
inches, when you state your final answer.
After you've done this, you can plug the
cubed radius into the original equation for
calculating the volume of a sphere, V =
⁴⁄₃πr³ . Therefore, V = ⁴⁄₃π x 1
If the radius was 2 inches (5.1 cm),
for example, then to cube it, you
would find 2 3 , which is 2 x 2 x 2, or
8.
Multiply the cubed radius by 4/3. Now
that you've plugged r 3 , or 1, into the
equation, you can multiply this result by
4/3 to continue plugging in to the
equation, V = ⁴⁄₃πr³ . 4/3 x 1 = 4/3. Now,
the equation will read V = ⁴⁄₃ x π x 1, or
V = ⁴⁄₃π.
Multiply the equation by π. This is the
last step to finding the volume of a
sphere. You can leave π as it is, stating
the final answer as V = ⁴⁄₃π. Or, you can
plug π into your calculator and multiply its
value by 4/3. The value of π
(approximately 3.14159) x 4/3 = 4.1887,
which can be rounded to 4.19. Don't forget
to state your units of measurement and to
state the result in cubic units. The volume
of a sphere with the radius of 1 is 4.19
in. 3
equation, "V" represents volume and "r"
represents the radius of the sphere.
Find the radius. If you're given the
radius, then you can move on to the
next step. If you're given the diameter,
then you can just divide it by two to get
the radius. Once you know what it is,
write it down. Let's say the radius we're
working with is 1 inch (2.5 cm). [1]
If you're only given the surface area
of the sphere, then you can find the
radius by finding the square root of
the surface area divided by 4π. In
that case, r = root (surface area/4π)
Cube the radius. To cube the radius,
simply multiply it by itself thrice, or
raise it to the third power. For example, 1
inch 3 is really just 1 inch (2.5 cm) x 1 inch
(2.5 cm) x 1 inch (2.5 cm). The result of 1
inch 3 is really just 1, since 1 multiplied by
itself any number of times will be 1. You'll
reintroduce the unit of measurement,
inches, when you state your final answer.
After you've done this, you can plug the
cubed radius into the original equation for
calculating the volume of a sphere, V =
⁴⁄₃πr³ . Therefore, V = ⁴⁄₃π x 1
If the radius was 2 inches (5.1 cm),
for example, then to cube it, you
would find 2 3 , which is 2 x 2 x 2, or
8.
Multiply the cubed radius by 4/3. Now
that you've plugged r 3 , or 1, into the
equation, you can multiply this result by
4/3 to continue plugging in to the
equation, V = ⁴⁄₃πr³ . 4/3 x 1 = 4/3. Now,
the equation will read V = ⁴⁄₃ x π x 1, or
V = ⁴⁄₃π.
Multiply the equation by π. This is the
last step to finding the volume of a
sphere. You can leave π as it is, stating
the final answer as V = ⁴⁄₃π. Or, you can
plug π into your calculator and multiply its
value by 4/3. The value of π
(approximately 3.14159) x 4/3 = 4.1887,
which can be rounded to 4.19. Don't forget
to state your units of measurement and to
state the result in cubic units. The volume
of a sphere with the radius of 1 is 4.19
in. 3
Answered by
13
4/3πr^3. volume of sphere
4/3π3√3
4×π×√3
4/3π3√3
4×π×√3
Similar questions