the height of a cone us 21cm.If its volume is 700pie cm^3 find the radius of its base
Answers
Given:
Height of Cone = 21cm
Volume = 700πcm³
To Find:
Radius of its base
Solution:
Volume of cone = 1/3πr²h
Substituting the values -
700 = 1/3πr² × 21
r = √ 3 × 700/ π × 21
r = √ 700/ π × 7
r = √ 700/ 3.14 × 7
r = √ 700/ 21.9
r = √ 31.84
r = 5.64
Answer: Radius of its base is 5.64 cm
Radius of base of cone is 10 cm if height of a cone us 21 cm and volume is 700π cm³
Given:
- A cone
- Volume = 700π cm³
- Height = 21 cm
To Find
- Radius of the cone
Solution:
- V = (1/3)πr²h
- V = Volume of the cone
- r = Radius of the base of cone
- h = Height of the cone
Step 1:
Use formula for the volume of a cone and substitute
V = 700π , h = 21 cm
700π = (1/3)πr²(21)
Step 2:
Solve for radius r
700π = (1/3)πr²(21)
700π = πr²(7) (21/3 = 7)
700 = r²(7) ( Divide both sides by π)
100 = r²(1) ( Divide both sides by 7)
10 = r ( Taking square root both sides and considering +ve value only as radius can not be negative)
Hence , Radius of base of cone is 10 cm