Examples of Volume• Draw & label the radii and heights of three real world objects ( a cone, sphere and cylinder ) • Use formulas to solve for the volume of each

Question

asked Jun 10, 2023 191k views

1 Answer

Orange Receptacle · Answer 1 · 2023-06-14T14:32:03+0000

Cone

A sugar cone that is 2 inches in diameter and 5 inches tall

The volume is given by:

$V=(1)/(3)\pi r^2h$

Substitute h = 5 in and r = d/2 = 2/2 = 1 in

$V=(1)/(3)\pi(1)^2(5)=(1)/(3)\pi(1)(5)=(5)/(3)(3.14)=5.23\text{ in}^3$

Answer: volume is 5.23 in^3

Sphere

Soccer balls with a radius of 14cm

The volume of the sphere is:

$V=(4)/(3)\pi r^3$

Where r = 14 cm

Substitute

$V=(4)/(3)(3.14)(14)=58.61\text{ cm}^3$

Answer: Volume is 58.61 cm^3

Cylinder

A scented candle is in the shape of a cylinder, with a radius of 4cm and a height of 12cm.

And the volume is:

$V=\pi r^2h$

Substitute the values h = 12 cm and r = 4 cm

$V=(3.14)(4)^2(12)=602.88\text{ cm}^3$

Answer: de volume is 602.88 cm^3