A cone has a diameter of 30 in. and a slant height of 17 in. What is the approximate volume of the cone?

Answers

Answer 1

Answer: we need to find the height of the cylinder
pythagorean theorem
15 is the bottom leg (30/2=15)
17 is hypotonuse
b=height
15^2+b^2=17^2
225+b^2=289
minus 225 both sides
b^2=64
sqrt both sides b=8

Vcone=(1/3)hpir^2
d/2=r=30/2=15
h=8
V=(1/3)8pi15^2
V=(1/3)8pi225
V=8pi75
V=600pi
aprox pi=3.14159256
V=1884.955536 in^3
round if nececary

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Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does olivia need for 18 balloons

Answers

$1yd=3ft\to1ft=(1)/(3)yd\n--------------------\n2.5ft\to1\ ballon\n\ntherefore\n\n18*2.5ft=45ft\to18\ ballons\n\n45ft=45*(1)/(3)yd=\boxed{15yd}\leftarrow answer$

Answer:

15 yards of ribbon does olivia need for 18 balloons

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 meter per seconds or 5 miles per hours.

As pert the statement:

Olivia ties 2.5 feet of ribbon onto one balloon.

⇒ $\text{unit rate per balloon} = (2.5)/(1) = 2.5$ ft ribbon

Use conversion:

1 feet = 1/3 yard

then;

2.5 ft = 0.833333333 yard

⇒ $\text{unit rate per balloon} = (2.5)/(1) = 0.833333333$ yard ribbon

We have top find how many yards of ribbon does olivia need for 18 balloons

$\text{Number of ribbons} = \text{Unit rate per balloons} * 18$

Substitute the given values we have;

$\text{Number of ribbons} = 0.83333333 * 18 = 15$ yards

Therefore, 15 yards of ribbon does olivia need for 18 balloons

Clayton Road is 2.25 miles long. Wood Pike Road is 1.8 miles long. Kisha used a quick picture to find the combined length of Clayton Road and Wood Pike Road. Does Kisha work make sense? Explain why or why not.

Answers

No her work does not make since because the boxes don't have the value in each so you would have to think that they all have the same amount, so that would change the size of each road, this would work if you didn't know the size of each road and it was expressed by "x"

Point S is located at (9,-3) on a coordinate plane. Point T is located at (4,-3) on a coordinate plane.What is the distance from point S to point T?