Answer:
The volume in terms of π is 144 ft³
The volume rounded to the nearest tenth is 452.4 ft³
Step-by-step explanation:
The formula of the volume of a cone is V = π r² h , where r is its radius and h is its height
The formula of the area of a circle is A = π r²
The area of the base of the cone is 36π ft²
Equate the formula of the area of the circle by 36π to find r
πr² = 36π
Divide both sides by π
r² = 36
Take √ to both sides
r = 6 ft
The height of the cone is equal to twice the radius
The radius of the cone is 6 ft
Multiply 6 by 2 to find the height
h = 2(6) = 12 ft
The height of the cone is 12 ft
Subsitute the values of h and r in the formula of the volume of the cone to find it
V = π(6)²(12)
V = 144 π ft³
V = 452.3893421 ft³
Round it to the nearest tenth
V = 452.4 ft³
Answer:
The height of the fox in Huseyin's drawing is, 16 units
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the statement: Huseyin draws a fox with a scale of 3 units on his graph paper represents 15 cm. The fox has an actual height of 80 cm.
⇒ We are given Scale of 3 units.
On graph paper the length of fox is 15 cm.
The fox has an actual height = 80 cm
let x be the height in units of the fox in Huseyin's drawing.
By definition of proportion;

by cross multiply we get;

Simplify:
240 = 15x
Divide both sides by 15 we get;
x = 16 units.
Therefore, the height of the fox in Huseyin's drawing is, 16 units
Answer:
1.) 9/5 or 1.8 or 1 4/5
2.) 17/2 or .53125 or 8 1/2
Answer:
x = 75
Step-by-step explanation:
