Question

A cone has a height of 36 cm and a volume of 588π cm3. What is its radius? ( The question I am working on..)

Answer 1

Steps:

Shape: Cone

Solved for radius

Height: 36 cm

Volume: 588 cm3

Formula= r=√3v/πh

R= Radius

H= Height

Description:

Using the formula  r=√3v/πh, we have to calculate the radius.  We know that the height is 36 and the volume of 588. We use the formula and get the answer. The answer we get is r≈3.95cm.

Answer: r≈3.95cm

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Hope this helps.

Answer 2

Answer:

r = 7cm

Step-by-step explanation:

$h = 36 \\Volume = 588pi\\r = \\588pi = \frac{1}{3}pir^{2} 36\\Cross-multiply\\1764pi=36pir^{2} \\Divide-both-sides-of-the-equation-by-36pi\\r^{2} =\frac{1764pi}{36pi} \\r^{2} = 49\\Square -root-both-sides-of-the-equation.\\\sqrt{r^{2} } =\sqrt{49} \\r = 7$