Find the volume of a right circular cone that has a height of 2.5 ft and a base with a diameter of 5.2 ft. Round your answer to the nearest tenth of a cubic foot.

volume of cone = 14.2 ft³

Step-by-step explanation:

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height of the cone

r represents the radius of the cone

π is a constant whose value is 3.14

From the information given

Height = 2 feet

Diameter of circular base = 5.2 feet

Radius = diameter/2 = 5.2/2

Radius = 2.6 feet

Therefore,

Volume of cone = 1/3 × 3.14 × 2.6² × 2

Volume of cone = 14.2 ft³ to the nearest tenth of a cubic foot

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.