Answer:
<em>Problem a ) Problem b )</em>
<em>r ⇒ 4 cm, r ⇒ 7 ft, </em>
<em>Base Area ⇒ ( About ) 50.2 cm^2, Base Area ⇒ ( About )153.9 ft^2,</em>
<em>Volume ⇒ ( About ) 803.8 cm^3 Volume ⇒ ( About ) 769.3 ft^3</em>
Step-by-step explanation:
Problem a )
<em>~ Provided that r ⇒ radius... ~</em>
1. The Base of this cylinderical object is, of course, a circle. Knowing that, the Base area of the cylinder can be computed through πr^2, and with the diameter as 8 cm, r ⇒ 8/2 = 4 cm. Now we know that<em> r ⇒ 4 cm</em>, and that <em>Base Area ⇒ π ( 4 )^2 ⇒ 16π ⇒ 50.24 cm^2</em>.
2. With the Base Area being 50.24, we can calculate the Volume through the basic formula Base * height, and with the height being 16 cm:
<em>Volume ⇒ ( 50.24 ) * ( 16 ) ⇒ 803.84 cm^3.</em>
Problem b )
<em>~ Provided that r ⇒ radius... ~</em>
1. The Base of this cylinderical object is, of course, a circle. Knowing that, the Base area of the cylinder can be computed through πr^2, and with<em> r ⇒ 7 ft</em> we know that the <em>Base Area ⇒ π ( 7 )^2 ⇒ 49π ⇒ 153.86 ft^2</em>.
2. With the Base Area being 153.96, we can calculate the Volume through the basic formula Base * height, and with the height being 5 ft:
<em>Volume ⇒ ( 153.86 ) * ( 5 ) ⇒ 769.3 ft^3.</em>