You are working in a daycare, and it is time for lunch. You are using bowls to provide soup to all of the children. You also know that the children like to tip their bowls and make a mess! You decide to use a hemispherical bowl that has a diameter of 20 cm as shown in the diagram to the right. After some research, you figure out that the children can tip the bowl up to about a 37° angle without making a mess before you can catch them tipping the bowl. What is the depth of soup that you can put in the bowl before it spills out when the children tip the bowl? Round your answer to the nearest tenth. 20 ст 37° ? cm

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