calculate the total surface area of a solid cone of slant height 10cm. use the value 3.14 for radius
yes
3.14 = π.
Are you sure that value is for the radius?
SA = πrs + πr^2
3.14 can't be for the radius it is for pie
3.17
To calculate the total surface area of a solid cone, we need to find the curved surface area (CSA) and the base area.
First, let's calculate the CSA:
The curved surface area of a cone can be found using the formula: CSA = π * r * l, where r is the radius of the base and l is the slant height.
Given that the radius (r) is 3.14 cm, and the slant height (l) is 10 cm, we can substitute these values into the formula:
CSA = 3.14 * 3.14 cm * 10 cm
Calculate the product of 3.14 * 3.14: 9.8596 cm²
Multiply it with 10 cm: CSA = 9.8596 cm² * 10 cm
CSA = 98.596 cm²
Now, let's calculate the base area:
The base area of a cone can be found using the formula: BA = π * r^2
Given that the radius (r) is 3.14 cm, we can substitute this value into the formula:
BA = 3.14 * (3.14 cm)^2
Square the radius: 3.14 cm * 3.14 cm = 9.8596 cm²
Multiply it by π (3.14): BA = 9.8596 cm² * 3.14
BA = 30.959144 cm²
Finally, to find the total surface area, we add the curved surface area (CSA) to the base area (BA):
Total Surface Area = CSA + BA
Total Surface Area = 98.596 cm² + 30.959144 cm²
Total Surface Area = 129.555144 cm²
Therefore, the total surface area of the solid cone is 129.56 cm² (rounded to two decimal places).