Question

incorrect
your answer is incorrect.
the diameter ( d ) of a sphere is 17.4 mm. calculate the spheres surface area ( a ).
use the value 3.14 for ( pi ), and round your answer to the nearest tenth.
your answer
( a = square , \text{mm}^2 )

Explanation:

Step1: Find the radius

The radius \( r \) of a sphere is half of its diameter. Given \( D = 17.4 \) mm, so \( r=\frac{D}{2}=\frac{17.4}{2} = 8.7 \) mm.

Step2: Use the surface area formula for a sphere

The formula for the surface area \( A \) of a sphere is \( A = 4\pi r^{2} \). Substitute \( \pi = 3.14 \) and \( r = 8.7 \) into the formula:
\( A=4\times3.14\times(8.7)^{2} \)
First, calculate \( (8.7)^{2}=75.69 \)
Then, \( 4\times3.14 = 12.56 \)
Next, \( 12.56\times75.69 = 950.6664 \)

Step3: Round to the nearest tenth

Rounding \( 950.6664 \) to the nearest tenth gives \( 950.7 \)

Answer:

\( 950.7 \)