Answer
a)
$A$ = $\int_0^1[\sqrt {1-(x-1)^{2}}-(1-\sqrt {1-x^{2}})]dx$
b)
$V$ = ${\pi}\int_0^1[({1-(x-1)^{2}})-(1-\sqrt {1-x^{2}})^{2}]dx$
Work Step by Step
a)
$A$ = $\int_0^1[\sqrt {1-(x-1)^{2}}-(1-\sqrt {1-x^{2}})]dx$
b)
$V$ = ${\pi}\int_0^1[({1-(x-1)^{2}})-(1-\sqrt {1-x^{2}})^{2}]dx$