h=7r=7

The volume of a cone is equal to 13 times the area of the base πr2 times the height h.

13⋅π⋅(radius)2⋅(height)

Substitute the values of the radius r=7 and height h=7 into the formula to find the volume of the cone. Pi π is approximately equal to 3.14.

13⋅π⋅72⋅7

Move 7.

13⋅π⋅(7⋅72)

Multiply 7 by 72.

Raise 7 to the power of 1.

13⋅π⋅(71⋅72)

Use the power rule aman=am+n to combine exponents.

13⋅π⋅71+2

13⋅π⋅71+2

Add 1 and 2.

13⋅π⋅73

13⋅π⋅73

Combine 13 and π.

π3⋅73

Raise 7 to the power of 3.

π3⋅343

Combine π3 and 343.

π⋅3433

Move 343 to the left of π.

343π3

The result can be shown in multiple forms.

Exact Form:

343π3

Decimal Form:

359.18876006…

Find the Volume cone (7)(7)