To calculate the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height.
Given that the diameter of the cone is 8 cm, the radius would be half of that, so r = 4 cm. And the height is 3 cm.
Plugging these values into the formula, we get:
V = (1/3)π(4 cm)^2(3 cm)
V = (1/3)π(16 cm^2)(3 cm)
V = (1/3)π(48 cm^3)
V ≈ 50.27 cm^3
The volume of the cone is approximately 50.27 cubic centimeters.
To calculate the total surface area of a cone, you need to find the lateral surface area and add it to the base area.
The lateral surface area can be calculated using the formula A = πr√(r^2 + h^2).
A = π(4 cm)√((4 cm)^2 + (3 cm)^2)
A = π(4 cm)√(16 cm^2 + 9 cm^2)
A = π(4 cm)√(25 cm^2)
A = 4π(5 cm)
A ≈ 62.83 cm^2
Now, the base area can be calculated using the formula A = πr^2
A = π(4 cm)^2
A = π(16 cm^2)
A ≈ 50.27 cm^2
Total surface area = 62.83 cm^2 + 50.27 cm^2 = 113.10 cm^2
Therefore, the total surface area of the cone is approximately 113.10 square centimeters.
A cone has diameter of 8cn and height of 3cm.calculate the volume and total surface area of the cone
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