# What is the Volume of Cone for radius is 15 & height is 20 The volume is 4712.389 and surface area is 1884.9556 of a cone having base radius of 15 and height of 20, refer the calculation summary and work with steps for detailed explanation.
Calculation Summary
Height20 in
Volume V4712.389 in³
Slant Height 25 in
Surface Area 1884.9556 in²
Lateral Surface Area 1178.0972 in²

## Work with Steps to Find Volume & Surface Area of Cone for r = 15 & h = 20

Question:
The radius & height of a cone measured as 15 inches and 20 inches respectively, find what is the volume, slanting height, lateral surface and the surface area of that cone?
workout :
step 1 Address the formula, input parmaeters & values
Height = 20 in

step 2 Apply radius and height values in below volume formula
Volume V = πr²h/3
= π x (15)² x 20/3in³
= 3.1416 x (225) x 20/3in³
= 14137.167/3in³
Volume V = 4712.389 in³

step 3 Apply radius and height in slant height formula
Slant height L = √(r² + h²) in²
= √(15² + 20²) in²
= √(225 + 400) in²
= √625 in
Slant height h = 25 in

step 4 Find surface area using radius, height and slant height
Surface Area = πr(r + r² + h²)
= πr(r + slant height)
= 3.1416 x 15 (15 + 25) in²
= 3.1416 x 15 x 40 in²
Surface Area = 1884.9556 in²

step 5 Find lateral surface area using radius, height, ad slant height
Lateral Surafce Area = π rr² + h²
= π x r x slant height
= 3.1416 x 15 x 25 in²
Lateral Surafce Area = 1178.0972 in² 