Solve the problem.
-Set up the triple integral for the volume of the sphere $\varrho = 10$ in rectangular coordinates.
A) $8 \int _ { - 10 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x$
B) $\int _ { 0 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { - \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x$
C)$8 \int_{-10}^{10} \int_{0}^{\sqrt{100-x^{2}}} \int_{0}^{\sqrt{100-x^{2}-y^{2}}} d z d y d x$
D)
$\int_{-10}^{10} \int_{-\sqrt{100-x^{2}}}^{\sqrt{100-x^{2}}} \int \sqrt{100-x^{2}-y^{2}} d z d y d x$

Question

Solve the problem.
-Set up the triple integral for the volume of the sphere $\varrho = 10$ in rectangular coordinates.
A) $8 \int _ { - 10 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x$
B) $\int _ { 0 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { - \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x$
C)$8 \int_{-10}^{10} \int_{0}^{\sqrt{100-x^{2}}} \int_{0}^{\sqrt{100-x^{2}-y^{2}}} d z d y d x$ 
D)
$\int_{-10}^{10} \int_{-\sqrt{100-x^{2}}}^{\sqrt{100-x^{2}}} \int \sqrt{100-x^{2}-y^{2}} d z d y d x$

Quizplus · Accepted Answer

The Answer of Solve the problem.
-Set up the triple integral for the volume of the sphere $\varrho = 10$ in rectangular coordinates.
A) $8 \int _ { - 10 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x$
B) $\int _ { 0 } ^ { 10 } \int _ { - \sqrt { 100 - x ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } } } \int _ { - \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } ^ { \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } } d z d y d x$
C)$8 \int_{-10}^{10} \int_{0}^{\sqrt{100-x^{2}}} \int_{0}^{\sqrt{100-x^{2}-y^{2}}} d z d y d x$ 
D)
$\int_{-10}^{10} \int_{-\sqrt{100-x^{2}}}^{\sqrt{100-x^{2}}} \int \sqrt{100-x^{2}-y^{2}} d z d y d x$

Solve the Problem ϱ=10\varrho = 10ϱ=10 In Rectangular Coordinates B) C) 8∫−1010∫0100−x2∫0100−x2−y2dzdydx8 \int_{-10}^{10} \int_{0}^{\sqrt{100-x^{2}}} \int_{0}^{\sqrt{100-x^{2}-y^{2}}} d z d y d x8∫−1010​∫0100−x2​​∫0100−x2−y2​​dzdydx

Solve the Problem $\varrho = 10$ In Rectangular Coordinates B) C) $8 \int_{-10}^{10} \int_{0}^{\sqrt{100-x^{2}}} \int_{0}^{\sqrt{100-x^{2}-y^{2}}} d z d y d x$