Question

Please help i will give 5 stars

Answer 1

1. C = 10π; A = 25π
2. 254.34
3. 12
4. without a picture it is just a shot 390 mm3
5. 12

Answer 2

Answer:

01 C = 10π inches; A = 25π square inches

Step-by-step explanation:

01) Since the Circumference formula and  Circle area formula is given by the following formulas we have:

D= 2r D =10'' then R=5''

$C=2\pi r\: C=2\pi*5''\, \: C=10\pi''$

Circle Area

$C=\pi r^{2}\: C=\pi5^{2}\, C=25\pi''$

02) The Volume of a Cylinder is given by calculating the Base Area times the Height.

D=2R 6 then Radius is equal to 3. h=3R h=9

$V=Base_{area}*height\: V=\pi r^{2}*h\\V=3.14*3^{2}*9\: \: V=254.34$

254.34 cubic inches.

03) The volume of a cone is 1/3 of the volume of a cylinder.

Then the volume of the soda can (cylinder) is 36. And the Diameter is twice the Radius.

Firstly let's find out the height of the cylinder (soda can)

$V=\pi*r^{2}*h \\36=3.14*2^{2}*h \mapsto h=\frac{36}{12.56}\therefore h=2.86\\\\h=2.86 u$

The Volume of Cone is one third of the Cylinder volume.

$\\V_{cone}=\frac{1}{3}\pi r^{2}*h\\V_{cone}=\frac{1}{3}*3.14* r^{2}*2.86\\V_{cone}=\frac{1}{3}3.14* 2^{2}*2.86\\V_{cone}=11.97\approx 12 u^{3}$

4)

Missing picture.

5)

Similarly to the Cylinder and the Cone, the Prism and the Pyramid has the 1/3 proportion when it comes to Volume relation.

So the Volume of cube a kind of prism.

$V=a^{3}\, 36=a^{3}\, a=\sqrt[3]{36} \, a=3.30\\V_{pyramid}=\frac{1}{3}(\sqrt[3]{36})^{2}*(\sqrt[3]{36})\\\, V_{pyramid}=12$