Set Up a Triple Integral for the Volume of the Solid

question 72

Multiple Choice

Set up a triple integral for the volume of the solid bounded by $z = 7 - x ^ { 2 } - y ^ { 2 } \text { and }$ $z = 0$

• A)
• \( \int_{-\sqrt{7}}^{\sqrt{7}} \int_{-7}^{\sqrt{7-x^{2}}} \int_{0}^{7-x^{2}-y^{2}} \int_{0} d z d x d y \)
• B)
• \( \int_{-7}^{7} \int_{-7}^{7-x^{2}-y^{2}} \int_{0} ^{7-{x^2}-{y^2}} d z d x d y \)
• C)
• \( \int_{-\sqrt{7}}^{\sqrt{7}} \int_{-\sqrt{7-{x^2}}}^{\sqrt{7-x^{2}}} \int_{0} ^{\sqrt{7-{x^2}-{y^2}}} d z d x d y \)
• D)
• \( \int_{-\sqrt{7}}^{\sqrt{7}} \int_{-\sqrt{7-{x^2}}}^{\sqrt{7-x^{2}}} \int_{0} ^{{7-{x^2}-{y^2}}} d z d x d y \)
• E)
• \( \int_{-7}^{7} \int_{-\sqrt{7-{x^2}}}^{\sqrt{7-x^{2}}} \int_{0} ^{{7-{x^2}-{y^2}}} d z d x d y \)