A paper cone has a base diameter of 8cm and a height of 3cm
a. Calculate the volume of the cone in term of pie
b. Calculate the curve surface area of the cone
a. v = 1/3 * pi * r^2 * h
b. the base radius is 4 and the height is 3, so the slant height is 5 (3-4-5 triangle)
the 5 is the radius of the circle of which the area of the cone is a segment
... the area of the circle is...25 pi
the area of the cone is...4/5 * 25 pi
1/3 *pi* r^2* h
Please I do not understand
V:5.28cm cube
To find the volume of a cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Where π is approximately 3.14159, r represents the radius of the base, and h represents the height of the cone.
a. First, let's find the radius of the base. The diameter is given as 8 cm, so the radius (r) can be calculated as half of the diameter.
r = 8 cm / 2 = 4 cm
Now, we know that the height (h) of the cone is 3 cm.
By substituting these values into the formula, we can find the volume:
Volume = (1/3) * π * (4 cm)^2 * 3 cm
= (1/3) * 3.14159 * 16 cm^2 * 3 cm
≈ 150.79632 cm^3
Therefore, the volume of the cone in terms of π is approximately 150.79632 cm^3.
b. To find the curved surface area of a cone, we can use the formula:
Curved Surface Area = π * r * l
Where l represents the slant height of the cone. The slant height can be calculated using the Pythagorean theorem with r and h.
In our case, r = 4 cm and h = 3 cm.
Using Pythagoras theorem:
l = √(r^2 + h^2)
= √((4 cm)^2 + (3 cm)^2)
= √(16 cm^2 + 9 cm^2)
= √(25 cm^2)
= 5 cm
Now, substituting the values into the formula, we find:
Curved Surface Area = π * 4 cm * 5 cm
= 20π cm^2
Therefore, the curved surface area of the cone is 20π cm^2.
16cm3
5cm
V: 16 Cm Cube
Slant Lenght: 5