Thread: Urgent Measurement Question

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well for no. 1 you will need to use the formula for the volume of a sphere
which is
V= 4/3r^3 (someting like that) sub the values in and solve for r

Could anyone else provide more detailed answer?

Originally Posted by ~NeonFire372~

I have a few questions:

1. How do I calculate the radius of the sphere with a volume of 45.7 metres^3.?

for a sphere, the volume is given by



where is the radius. you are given V, so we have:



just solve for

2. How can I find the height of this? A cone-shaped unit holds 5000 cubic metres (m^3). The radius is 15 metres.

The volume of a cone is given by:



where is the radius and is the height.

you are given V and r, so we have:



just solve for

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.

The surface area for a sphere is given by:



where 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

Originally Posted by Jhevon

for a sphere, the volume is given by



where is the radius. you are given V, so we have:



just solve for

The volume of a cone is given by:



where is the radius and is the height.

you are given V and r, so we have:



just solve for

The surface area for a sphere is given by:



where 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

I get most of it but can you explain exactly how I 'solve for h' in the height one?