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 | |
|---|---|
| Radius | 15 in |
| Height | 20 in |
| Volume V | 4712.389 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 :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?
step 1 Address the formula, input parmaeters & values
Radius = 15 in
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 r√r² + h²
= π x r x slant height
= 3.1416 x 15 x 25 in²
Lateral Surafce Area = 1178.0972 in²
