What is the volume ### Cone Volume Problem#### Question:15. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches. What is the volume of the cone to the nearest cubic inch?#### Diagram Description:- The diagram is a right circular cone.- The cone has a diameter of 8 inches.- The height of the cone is 12 inches.#### Diagram:- A right circular cone is shown with a base diameter of 8 inches.- A perpendicular height from the base to the apex is 12 inches.#### Question Options:- A. 603- B. 481- C. 201- D. 804To solve the problem, use the formula for the volume of a cone:\[ \text{Volume} = \frac{1}{3} \pi r^2 h \]Where:- $ \pi $ (pi) is approximately 3.14159.- $ r $ is the radius of the base.- $ h $ is the height of the cone.Given data:- Diameter = 8 inches, so Radius $ r = \frac{8}{2} = 4 $ inches.- Height $ h = 12 $ inches.Now, substitute the values into the volume formula:\[ \text{Volume} = \frac{1}{3} \pi (4)^2 (12) \]\[ \text{Volume} = \frac{1}{3} \pi (16) (12) \]\[ \text{Volume} = \frac{1}{3} \pi (192) \]\[ \text{Volume} \approx \frac{1}{3} (3.14159) (192) \]\[ \text{Volume} \approx 201.062 \]Hence, the volume of the cone is approximately 201 cubic inches.### Correct Option:- C. 201

Answered: Image /qna-images/answer/e54325e7-6e69-4d30-a250-4b093153bb00.jpg

15. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches. What is the volume of the cone to the nearest cubicinch? 8 Inches 12 Inches A. 603 B. 481 C. 201 D. 804

15. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches. What is the volume of the cone to the nearest cubicinch? 8 Inches 12 Inches A. 603 B. 481 C. 201 D. 804

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 14A

See similar textbooks

Related questions

Q: Pyramids of ancient Egypt were built of bricks weighing between 2 and 50 tons each. Twenty years and…

A: We know that the volume of a rectangular pyramid of Base length l, Base width w and Pyramid height h…

Q: How much area is in both tails (combined)? How much area is in each tail?

A: Given frequency distribution X is the number of colors on a national flag.

Q: Which of the following sequence is divergent? 32n² n² + 1 sinh n sin n ° {2 (+)} {-3-} None of the…

Q: Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2.…

A: Solution : y=f(x) 1. Lagrange's Interpolation formula is,…

Q: Evaluate using Laplace Transform, find a: sin(t + a) cos(t + a) f(t) = . 3 dt = 8. e2t

Q: Under High order linear differential equations Solve: y""+y" = ex cos x

A: Here, the given DE is: y'''+y''=excos x So, the auxiliary equation is: m3+m2=0⇒m2(m+1)=0⇒m=0,0,-1…

Q: n is an even negative integer. Quantity A A Quantity B (-3)"

Q: Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the…

A: Given,A curvilinear relationship between i and V in the form of data.We need to fit a curve to the…

Q: ards A stationery store wants to estimate the mean retail value of greeting random sample of 100…

A: We associate with the interval estimate is called a confidence interval. This probability indicates…

Q: 2x-1, At what point/s will the tangent/s to the curve y== 2x+1 be parallel to the line y-4x+3=0?

Q: The average time it takes a group of adults to complete a certain achievement test is 46.2 minutes.…

Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2+s+6)(s²+5)

A: To solve given question first we write the partial fraction decomposition of given function and then…

Q: - consider fencfion f:CR?> IR? given lby Ca) arodient vector ♡ f Qt point Cl,o) is (6) tergent Clr…

Q: 1 ' Identify the surfaces of the following equations by converting them into equations in the…

A: The Cartesian co-ordinate and cylindrical coordinates are related as…

Q: 10 y = 2x or x = 2 (5,10) a

A: The conical tank shown here is filled with olive oil weighing 55 lbft3. How much work does it take…

Q: Given the function determine the Fourier Series of f (x) = 2, 0 < x < T,cosine series with period…

Q: 13. (a) Find the 3rd-degree Taylor polynomial for the function f(x) = In x centered at a = 1. (b)…

A: The derivative of lnx with respect to x is 1x. The power rule of differentiation states that d…

Q: 3z+1 Evaluate: S xp- 6z² -14x-12 ○ 륵m6z-21 + 흉mz + 6| +C O 음l미2z-6|+ n3z + 2| + C ○ f미3z-4|-3n 2z +…

Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

Q: The domain of y = 5f(2x +4)+3, where f(x)= - is Select one: O a. x*0 O b. x* - 4 O c. X# - 2 O d. x*…

A: We need to find the domain of y=5 f(2 x+4)+3 where f(x)=1/ x

Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that x" > y

A: x and y are two real numbers and x>1. To prove there exist a positive integer n such that…

Question

100%

What is the volume

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Prisms$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8 centimeters, as shown. How many liters of liquid must be added in order to fill the vessel? One liter contains 1000 cubic centimeters.
The formulas for the volume of a cylinder and a cone are similar. Explain how you can remember which formula goes with which shape.
A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.
A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.
Area of a Tabletop Yuki bought a drop-leaf kitchen table. The rectangular part of the table is a 1-ft by 3-ft rectangle with a semicircle at each end. as shown. (a) Find the area of the table with one leaf up. (b) Find the area of the table with both leaves up.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
Question #3 3. A triangular prism has an equilateral triangular base. An edge of the base is 8 centimeters. The height of the triangular base is 6.9 units. The height of the prism is 10 centimeters. 8 cm 6.9 cm 10 cm What is the volume of this prism? A 24.9 cm B 552 cm C 276 cm D Not Here
(Solid) A Vanhauten chocolate bar in the shape of a rectangular prism is havingthe dimensions of 2 by 4 by 12 cms. Find the cost of the choco bar if thechocolate costs P0.75 per cu. cm. (Hint: Find the volume of the bar.)
Elementary Geometry (Find the surface area and volume of figure)
HI. CAN YOU PLEASE WRITE THE ANSWERS CLEARLY SO THAT I CAN UNDERSTAND and THANKS FOR HELPING !!!!
Problem: "A sphere has a diameter of 25mm. Find the volume of the shere in mL. I know the answer is supposed to be 8.18 mL but I can't reach that answer. I included a photo of my work. Can you tell me what I;m doing wrong?
Question in image.