All categories

2 years ago

Estimate the volume of a soccer ball that has a diameter of 8 inches

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

7 0

Answer:

269 in³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

Here the ball (sphere) diameter is 8 in, meaning that the radius is 4 in.

Thus, the volume of this ball is:

V = (4/3)π(4 in)³

If an "estimate" is good enough, use 3.14 for π:

V = (4/3)(3.14)(4 in)³ = 269 in³

You might be interested in

A number divided by 4 plus 3 is 8

asambeis [7]

Answer:

$number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you$

3 0

1 year ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the st

Zina [86]

Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.

Answer:

$Sin\theta = \frac{-15}{17}$

$Tan\theta = \frac{15}{8}$

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

$cos(\theta) = \frac{Adj}{Hyp}$

Where Adj and Hyp represent Adjacent and Hypotenuse

$cos(\theta) = \frac{-8}{17}$

By comparison

$Adj = -8\ and\ Hyp = 17$

Using Pythagoras

$Hyp^2 = Adj^2 + Opp^2$

By Substitution

$17^2 = (-8)^2 + Opp^2$

$289 = 64 + Opp^2$

Subtract 64 from both sides

$289 - 64 = 64 - 64 + Opp^2$

$225 = Opp^2$

Take square roots of both sides

$\sqrt{225} = \sqrt{Opp^2}$

$\sqrt{225} = Opp$

$15 = Opp$

$Opp = 15$

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

$Opp = -15$

From trigonometry

$Sin\theta = \frac{Opp}{Hyp}$

$Sin\theta = \frac{-15}{17}$

Also from trigonometry

$Tan\theta = Sin\theta / Cos\theta$

$Tan\theta = \frac{-15}{17} / \frac{-8}{17}$

$Tan\theta = \frac{-15}{17} * \frac{-17}{8}$

$Tan\theta = \frac{-15 * -17}{17 * 8}$

$Tan\theta = \frac{15 * 17}{17 * 8}$

$Tan\theta = \frac{15}{8}$

5 0

2 years ago

Start time unknown elapsed time 9 3/4 hours end time 6 pm

SCORPION-xisa [38]

The start time is 9:15 A.M. I believe.

I took away 6 hours from the elapsed time to get 12:00 P.M. (noon). Then, I took away another 3 hours to get 9:00 A.M. Now, we only have 3/4 hour left. 3/4 of 60 is 45. 60 - 45 = 15. Add 15 minutes to 9:00.

Hope it helps,
Loafly

7 0

2 years ago

Read 2 more answers

Whats 6+9 i need help

lisov135 [29]

Answer:

5 + 4 = 9

5 + 1 = 6

5 + 5 + 4 + 1 = 15

7 0

2 years ago

What is x? 4(x+2)=4(x+2)