Answer:
1149.8 m³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = 
πr³ ( r is the radius )
Here diameter = 13, thus radius = 13 ÷ 2 = 6.5
V = × 3.14 × 6.5³
= × 3.14 × 274.625
= 
≈ 1149.8 m³ ( to the nearest tenth )
So given the formula 4 is going to be your first term 6 is the number you are multiplying/dividing! So 4x6 24 or -24
Answer:
79.1 ft
Step-by-step explanation:
Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.
Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.
You are looking for the length of segment AC, the guy wire length.
Triangle ABC is a right triangle with right angle B.
Sides AB and BC are the legs, and side AC is the hypotenuse.
We can use the Pythagorean Theorem:
(leg1)^2 + (leg2)^2 = (hyp)^2
Let one leg be a, the other leg be b, and let the hypotenuse be c.
Then you have
a^2 + b^2 = c^2
We have a = 75 ft
b = 25 ft
We are looking for c, the length of the hypotenuse.
(75 ft)^2 + (25 ft)^2 = c^2
5625 ft^2 + 625 ft^2 = c^2
6250 ft^2 = c^2
c^2 = 6250 ft^2
Take the square root of both sides.
c = 79.0569... ft
Answer: 79.1 ft
