What is the radius of a cone with diameter d? An ice cream cone is filled exactly level with the top of the cone. The cone has a 5-cm diameter and 9-cm depth. Approximate how much ice cream (in cm cubed) is in the cone? Use 3.14 for pi. What is the radius of a cone with diameter d?

radius is 2.5

volume of ice cream is 58.9 cm cubed

Step-by-step explanation:

to calculate the volume of a cone   v=pi x r^2 x (h/3)

v=volume

r=radius

h=height

^ means powers and roots

depth in cones is the same as height

v=3.14 x 2.5^2 x (9/3)

order of operations

v=3.14 x 2.5^2 x 3

v=3.14 x 6.25 x 3

v=19.625 x 3

v=58.875

round

v=58.9

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

the value of x is 28.2