What is the Volume of Cone for radius is 9 & height is 6
The volume is 508.938 and surface area is 560.3027 of a cone having base radius of 9 and height of 6, refer the calculation summary and work with steps for detailed explanation.| Calculation Summary | |
|---|---|
| Radius | 9 in |
| Height | 6 in |
| Volume V | 508.938 in³ |
| Slant Height | 10.8167 in |
| Surface Area | 560.3027 in² |
| Lateral Surface Area | 305.8337 in² |
Work with Steps to Find Volume & Surface Area of Cone for r = 9 & h = 6
Question:
The radius of cone is 9 inches and the height is 6 inches, find what is the volume, slanting height, lateral surface and the surface area of that cone?
workout :The radius of cone is 9 inches and the height is 6 inches, 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 = 9 in
Height = 6 in
step 2 Apply radius and height values in below volume formula
Volume V = πr²h/3
= π x (9)² x 6/3in³
= 3.1416 x (81) x 6/3in³
= 1526.814/3in³
Volume V = 508.938 in³
step 3 Apply radius and height in slant height formula
Slant height L = √(r² + h²) in²
= √(9² + 6²) in²
= √(81 + 36) in²
= √117 in
Slant height h = 10.8167 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 9 (9 + 10.8167) in²
= 3.1416 x 9 x 19.8167 in²
Surface Area = 560.3027 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 9 x 10.8167 in²
Lateral Surafce Area = 305.8337 in²
