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Mathematics, 05.09.2021 02:40 ashleymunoz928

SOMONEEE pls help pls and thx :) Question 1) A sculptor created a marble water basin by beginning with a cylinder and then carving out a hemisphere. The cylinder has a radius of 30 centimeters and a height of 45 centimeters. The hemisphere has a radius of 25 centimeters.

What is the approximate volume of the marble that forms the water basin?

A) 123,307.5 cubic centimeters
B) 61,784.7 cubic centimeters
C) 125,925.5 cubic centimeters
D) 94,509.6 cubic centimeters

Question 2) Toby made a heart-shaped cake for his mom's birthday. He baked a square cake and a round cake. One side of the square cake is 9 inches long, and the diameter of the round cake is 9 inches. Both cakes have a height of 3 inches. He cut the round cake in half and attached it to two sides of the square cake to form the heart. He covered the combined cake in red frosting before adding decorations.

What is the approximate area that Toby covered in red frosting?

A) 364 square inches
B) 283 square inches
C) 302 square inches
D) 198 square inches

Question 3)
A designer is creating a window for a new home. The window is a semicircle with a radius of 9 inches placed at the top edge of an 18-inch by 24-inch rectangle. She plans to put a wooden frame around the outside of the glass.

What is the approximate length of the frame around the window?

A) 122.5 inches
B) 94.3 inches
C) 112.3 inches
D) 140.5 inches

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