We appreciate your visit to At the beach a child uses a container in the shape of a cylinder to build a sandcastle The child completely fills the container with. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The approximate volume of sand in the container is 5 gallons.
To find the volume of sand in the container, we first need to calculate the volume of the container. Since the container is a cylinder, we use the formula:
Volume of a cylinder = π × radius² × height
Given:
- Height (h) = 10 inches
- Diameter = 12 inches, so the radius (r) = 12/2 = 6 inches
Substituting the values:
Volume = π × 6² × 10 = π × 36 × 10 ≈ 3.14 × 360 = 1130.4 cubic inches
Next, we convert the volume from cubic inches to gallons. We know that 1 gallon of sand is approximately 231 cubic inches. Therefore, we divide the volume of the container by the volume of one gallon:
Volume in gallons = 1130.4 cubic inches / 231 cubic inches/gallon ≈ 4.89 gallons
Rounding to the nearest gallon:
The approximate volume of sand in the container is 5 gallons.
Complete question:
At the beach, a child uses a container in the shape of a cylinder to build a sand castle. The child completely fills the container with sand. The container has a height of 10 inches and a diameter of 12 inches. There are 231 cubic inches in one gallon of sand. What is the approximate volume of sand, in gallons, in the container? Round your answer to the nearest gallon. Show your work.
Thanks for taking the time to read At the beach a child uses a container in the shape of a cylinder to build a sandcastle The child completely fills the container with. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
The approximate volume of sand in the container is about 0.2 gallons. To find the volume of the sand, we need to find the volume of the cylinder container. We can use the formula for the volume of a cylinder: V=πr²h.
First, we need to find the radius by dividing the diameter by 2: r = 12/2 = 6. So, the volume of the cylinder is: V = 3.14 x 6² x 10 = 1,128 cubic inches. To convert cubic inches to gallons, we divide by 231 (the number of cubic inches in a gallon): 1,128/231 ≈ 4.9 gallons. Rounding this to the nearest gallon gives us 5 gallons.
However, the child completely filled the container with sand, which means that some sand may have spilled over the top. So, it's safe to assume that the actual volume of sand in the container is slightly less than 5 gallons. We can estimate the volume to be about 0.2 gallons.
To learn more about volume click here: brainly.com/question/28058531
#SPJ11
