STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 7.5 $ we have:
$$ 7.5 = 2 \cdot r $$ $$ r = \dfrac{ 7.5 }{ 2 } $$ $$ r = 3.75 $$STEP 2: find volume $ V $
To find volume $ V $ use formula:
$$ V = r ^{ 2 } \cdot h \cdot \pi$$After substituting $ r = 3.75 $ and $ h = 4.2 $ we have:
$$ V = 3.75 ^{ 2 } \cdot 4.2 \cdot \pi$$$$ V = 14.0625 \cdot 4.2 \cdot \pi $$$$ V = 59.0625\pi $$