The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
Given that S = 13 cm and R = 5 cm, we first need to find the height of the cone using the Pythagorean theorem:
h = √(S^2 - R^2)
h = √(13^2 - 5^2)
h = √(169 - 25)
h = √144
h = 12 cm
Now, we can calculate the volume of the cone:
V = (1/3)π(5^2)(12)
V = (1/3)π(25)(12)
V = (1/3)π(300)
V ≈ 314.16 cm^3
Therefore, the volume of the cone in the picture is approximately 314.16 cubic centimeters.
To find the volume of the cone in the picture where S = 13 cm and R = 5 cm:
3 answers
the only options i have is
the volume is approx. 314.2 cm^3
find h by using the area of a triangle=bh/2
since h=12, use the v=1/3times pi times radius square times h to find volume
the volume is approx. 38.04 cm cubed
since h=6, use the v=1/3 pi times radius square times to find the volume
find h by using the pythagorean theorem r square plus h square equal s square
the volume is approx. 314.2 cm^3
find h by using the area of a triangle=bh/2
since h=12, use the v=1/3times pi times radius square times h to find volume
the volume is approx. 38.04 cm cubed
since h=6, use the v=1/3 pi times radius square times to find the volume
find h by using the pythagorean theorem r square plus h square equal s square
Let's follow the given options to find the correct volume of the cone:
1. Find h by using the area of a triangle = bh/2:
Area of the triangle = 1/2 * base * height
13 = 5 * h / 2
13 = 5h / 2
h = 13 * 2 / 5
h = 26 / 5
h = 5.2 cm
2. Use V = (1/3)πr^2h to find the volume:
V = 1/3 * π * 5^2 * 5.2
V = 1/3 * π * 25 * 5.2
V = π * 130 / 3
V ≈ 136.67 cm^3
Therefore, the correct volume of the cone is approximately 136.67 cubic centimeters.
1. Find h by using the area of a triangle = bh/2:
Area of the triangle = 1/2 * base * height
13 = 5 * h / 2
13 = 5h / 2
h = 13 * 2 / 5
h = 26 / 5
h = 5.2 cm
2. Use V = (1/3)πr^2h to find the volume:
V = 1/3 * π * 5^2 * 5.2
V = 1/3 * π * 25 * 5.2
V = π * 130 / 3
V ≈ 136.67 cm^3
Therefore, the correct volume of the cone is approximately 136.67 cubic centimeters.