Manuel wants to build a model of a superhero's famous shield. He decides to cut a circular shape out of cardboard. Manuel knows that the outer ring of the shield is colored yellow. The next ring is white. The third ring in is also yellow. The center is white with a green key. The radius of the entire shield is 12 inches; however, Manuel wants to know how much yellow paint he will need so he does some measurements as shown in the diagram below. He measures the radius of the inner circle as 4.5 inches. He measures the radius to the second circle as 7 inches. The radius to the third circle as 9.5 inches. What is the area of the space Manuel will paint yellow? Use 3.14 for pi

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?