11. A sphere shaped snow globe has a radius of 3.5 inches. How much water can the snow globe hold? Round to the nearest tenth.

To find the volume of the sphere shaped snow globe, we can use the formula for the volume of a sphere: \[ V = \frac{4}{3} \pi r^3 \] where: - \( V \) is the volume of the sphere - \( r \) is the radius of the sphere Given that the radius of the snow globe is 3.5 inches, we can substitute this value into the formula to find the volume. \[ V = \frac{4}{3} \pi (3.5)^3 \] Now, we can calculate the volume of the snow globe. Calculate the value by following steps: - step0: Calculate: \(\frac{4}{3}\pi \times 3.5^{3}\) - step1: Convert the expressions: \(\frac{4}{3}\pi \left(\frac{7}{2}\right)^{3}\) - step2: Multiply: \(\frac{4\pi }{3}\left(\frac{7}{2}\right)^{3}\) - step3: Evaluate the power: \(\frac{4\pi }{3}\times \frac{7^{3}}{2^{3}}\) - step4: Rewrite the expression: \(\frac{2^{2}\pi }{3}\times \frac{7^{3}}{2^{3}}\) - step5: Reduce the numbers: \(\frac{\pi }{3}\times \frac{7^{3}}{2}\) - step6: Multiply the fractions: \(\frac{\pi \times 7^{3}}{3\times 2}\) - step7: Multiply: \(\frac{343\pi }{6}\) The volume of the sphere shaped snow globe is approximately 179.59 cubic inches. Rounding to the nearest tenth, the snow globe can hold approximately 179.6 cubic inches of water.