The surface area of a right circular cylinder of height 9 units is given by S = π r 2 + 18 π r S = \pi r ^ { 2 } + 18 \pi r S = π r 2 + 18 π r . Factor this expression.A) r 2 ( π + 18 r ) r ^ { 2 } ( \pi + 18 r ) r 2 ( π + 18 r ) B) r ( r + 18 π ) r ( r + 18 \pi ) r ( r + 18 π ) C) π r ( r + 18 ) \pi r ( r + 18 ) π r ( r + 18 ) D) r 2 ( π + 18 ) r ^ { 2 } ( \pi + 18 ) r 2 ( π + 18 ) E) π ( r 2 + 18 ) \pi \left( r ^ { 2 } + 18 \right) π ( r 2 + 18 )

Question

The surface area of a right circular cylinder of height 9 units is given by   S = π r 2 + 18 π r S = \pi r ^ { 2 } + 18 \pi r S = π r 2 + 18 π r   . Factor this expression.A)    r 2 ( π + 18 r )  r ^ { 2 } ( \pi + 18 r )  r 2 ( π + 18 r )  B)    r ( r + 18 π )  r ( r + 18 \pi )  r ( r + 18 π )  C)    π r ( r + 18 )  \pi r ( r + 18 )  π r ( r + 18 )  D)    r 2 ( π + 18 )  r ^ { 2 } ( \pi + 18 )  r 2 ( π + 18 )  E)    π ( r 2 + 18 )  \pi \left( r ^ { 2 } + 18 \right)  π ( r 2 + 18 )

Shelly Robinson Norton · Accepted Answer

Final Answer : C, Explanation :   The expression can be factored by taking   π r \pi r π r   as a common factor, resulting in   π r ( r + 18 ) \pi r ( r + 18 ) π r ( r + 18 )  .

The surface area of a right circular cylinder of height 9 units is given by $\pi r ^ { 2 } + 18 \pi r$ . Factor this expression.

A) $\pi + 18 r )$
B) $\pi )$
C) $\pi r ( r + 18 )$
D) $\pi + 18 )$
E) $\pi \left( r ^ { 2 } + 18 \right)$

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