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for a sphere, the volume is given by
$\displaystyle V = \frac 43 \pi r^3$
where $\displaystyle r$ is the radius. you are given V, so we have:
$\displaystyle 45.7 = \frac 43 \pi r^3$
just solve for $\displaystyle r$
The volume of a cone is given by:2. How can I find the height of this? A cone-shaped unit holds 5000 cubic metres (m^3). The radius is 15 metres.
$\displaystyle V = \frac 13 \pi r^2 h$
where $\displaystyle r$ is the radius and $\displaystyle h$ is the height.
you are given V and r, so we have:
$\displaystyle 5000 = \frac 13 \pi (15)^2 h$
just solve for $\displaystyle h$
The surface area for a sphere is given by:3. How do I calculate the surface area and volume of the following spheres:
a) The sphere has a radius of 10cm.
b) The sphere has a radius of 5cm.
c) The sphere has a radius of 15.2cm.
d) The sphere has a radius of 20cm.
$\displaystyle S = 4 \pi r^2$
where $\displaystyle r$ is the radius. just plug in the value of r for each and solve for S
do the same for the volume. i gave you the formula earlier