Question

Width of 12 in. Calculate the volume of the sphere. Round to the nearest tenth if necessary

likes

278 views

Answer to a math question Width of 12 in. Calculate the volume of the sphere. Round to the nearest tenth if necessary

$Expert avatar$

Clarabelle

4.7

94 Answers

1. Identify the radius of the sphere. Given the width is 12 inches, the diameter is 12 inches. Therefore, the radius is half of the diameter:

r = \frac{12}{2} = 6 \, \text{in}

2. Use the formula for the volume of a sphere:

V = \frac{4}{3} \pi r^3

3. Substitute the radius into the formula:

V = \frac{4}{3} \pi (6)^3

4. Calculate:

V = \frac{4}{3} \pi \times 216 = \frac{864}{3} \pi = 288 \pi

5. Approximate using

\pi \approx 3.1416

V \approx 288 \times 3.1416 = 904.8 \, \text{in}^3

6. The volume of the sphere, rounded to the nearest tenth, is approximately:

904.8 \, \text{in}^3

Frequently asked questions (FAQs)

What is the derivative of the function f(x) = ∫(2 to x) sin(t^2) dt?

Math question: What is the slope-intercept equation of a line passing through the points (2, 6) and (4, 10)?

Math question: Evaluate the limit as x approaches 2 of (3x + 6)/(x^2 - 4), where x ≠ 2.

New questions in Mathematics

How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?

Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0

If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.

Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) <2u- 5v,3w>

8x²-30x-10x²+70x=-30x+10x²-20x²

Eight acts are scheduled to perform in a variety show how many different ways are there to schedule their appearances show your work

5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?

A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

what is the annual rate on $525 at 0.046% per day for 3 months?

7/6-(-1/9)

Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13

By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.

I need to know what 20% or £3292.75

The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

I. Order to add 40.25+1.31+.45 what is the first action to do ?

1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?

To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;

the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length

Width of 12 in. Calculate the volume of the sphere. Round to the nearest tenth if necessary

Answer to a math question Width of 12 in. Calculate the volume of the sphere. Round to the nearest tenth if necessary

You might be interested in