Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

HELP VOLUMES

1. Evelyn’s made a cake in the shape of a circus tent to use as the centerpiece at the celebration. As shown in the illustration, the cake consisted of a cylinder and a cone. The height of the cone is half the height of the cylinder. The volume of the cylinder is 1470 in3. The diameter of the cylinder is 12 in. What is the volume of the circus tent cake? Use 3.14 for π. Round to the nearest hundredth. Show your work.

Sagot :

iGreen
V = pi * r^2 * h

Plug in what we know:

1470 = 3.14 * 6^2 * h

Find the height:

Simplify exponent:

1470 = 3.14 * 36 * h

Multiply:

1470 = 113.04h

Divide 113.04 to both sides:

h = 13

The height of the cone is half the height of the cylinder.

Cylinder height = 13

Cone height = 13 / 2 = 6.5

Radius of the cone should be the same as the cylinder.

V = 1/3 * pi * r^2 * h

V = 1/3 * 3.14 * 6^2 * 6.5

Simplify exponent:

V = 1/3 * 3.14 * 36 * 6.5

Multiply:

V = 244.92

Add the two volumes:

1470 + 244.92 = 1714.92
Panoyin
V = πr²h
1,470 = (3.14)(6)²h
1,470 = (3.14)(36)h
1,470 = 113.04h
113.04   113.04
13.00425 ≈ h
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.