Factor the following.
2 answers:
You might be interested in
Answer:
C. 134.04
Step-by-step explanation:
The formula to calculate the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height</em>
<em />
The base of the cone is a circle, so that the formula to calculate the are of the base is: <em>Area of base = </em> x
The radius of the base is 4cm
=> <em>Area of base = </em> x 4^2 = 3.14 x 16 = 16
The height of the cone is given equal to 8 cm
So the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16</em><em> x 8 = 134.04 </em>
<em />
<em />
So the answer is C
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
