Where $$ r $$ is the radius of the cylinder and $$ h $$ is the height of the cylinder. Find the surface area when $$ r $$ is 7 inches and $$ h $$ is 9 inches. A. $$ 154 \pi \mathrm{in}^{2} $$ B. $$ 224 \pi \mathrm{in}^{2} $$ C. $$ 112 \pi \mathrm{in}^{2} $$ D. $$ 288 \pi \mathrm{in}^{2} $$

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The surface area is $$ 224 \pi \mathrm{in}^{2} $$. The correct answer is B. To find the surface area of a cylinder, we use the formula: $$ \text{Surface Area} = 2\pi r^2 + 2\pi rh $$ where $$ r $$ is the radius and $$ h $$ is the height of the cylinder. Given: - $$ r = 7 $$ inches - $$ h = 9 $$ inches Now, we can calculate the surface area step by step. 1. Calculate the area of the two circular bases: $$ 2\pi r^2 = 2\pi (7^2) = 2\pi (49) = 98\pi $$ 2. Calculate the lateral surface area: $$ 2\pi rh = 2\pi (7)(9) = 2\pi (63) = 126\pi $$ 3. Add the areas together to find the total surface area: $$ \text{Surface Area} = 98\pi + 126\pi = 224\pi $$ Thus, the surface area of the cylinder is: $$ \boxed{224 \pi \, \text{in}^2} $$ The correct answer is B. $$ 224 \pi \mathrm{in}^{2} $$.

Where \( r \) is the radius of the cylinder and \( h \) is the height of the cylinder. Find the surface area when \( r \) is 7 inches and \( h \) is 9 inches. A. \( 154 \pi \mathrm{in}^{2} \) B. \( 224 \pi \mathrm{in}^{2} \) C. \( 112 \pi \mathrm{in}^{2} \) D. \( 288 \pi \mathrm{in}^{2} \)

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Where \( r \) is the radius of the cylinder and \( h \) is the height of the cylinder. Find the surface area when \( r \) is 7 inches and \( h \) is 9 inches. A. \( 154 \pi \mathrm{in}^{2} \) B. \( 224 \pi \mathrm{in}^{2} \) C. \( 112 \pi \mathrm{in}^{2} \) D. \( 288 \pi \mathrm{in}^{2} \)

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