Mathematics: Find the volume and surface area of the following solid: a hemisphere attached on top of a cylinder.i m not sure if the picture resolution is clear for everyone to see and understand, so i ll describe its properties as well: hemisphere s radius=7cm cylinder s height= 10cmcylinder s radius= 7cmtotal height of the solid= 17cm me out with this question. i am in dire need of the answer, as my finals are nearing.if there is any confusion with the question, ask me. i ll be glad to elaborate. you.

Find the volume and surface area of the following

rainbow9960

10.03.2022

Step-by-step explanation:

Here,

radius of hemisphere and cylinder(r)=7 cm

height of the cylinder(h)= 10 cm

Now the volume of cylinder(V1) is,

$\pi {r}^{2} h \\ = \pi \times {7}^{2} \times 10 \\ = 1540 \: {cm}^{3} \\$

And the volume of hemisphere(V2) is,

$\frac{2}{3} \pi {r}^{3} = \frac{2}{3} \times \pi \times {7}^{3} \\ = 718.67 \: {cm}^{3}$

Total volume=V1+V2=1540+718.67= 2258.67 cu.cm

Surface area of cylinder(A2)=

$2\pi \: rh + 2\pi {r}^{2} = 2\pi \: r(h + r) \\ = 2 \times \pi \times 7 \times (10 + 7) \\ = 44 \times 17 \\ = 748 \: {cm}^{2}$

Surface area of hemisphere(A2)=

$2\pi {r}^{2} = 2 \times \pi \times {7}^{2} = 308 \: {cm}^{2}$

Then total Surface area=A1+A2

=748+308=1056 sq.cm

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larissa1013

11.04.2020

€1333.33

Step-by-step explanation:

Al Tom ratio to Joe=5:4

Joe gets 1.5 times the amount Al gets

€3000 in the ratio 5:4

Al share

5/9×3000

=€1666.67

Joe share

4/9×3000

=€1333.33

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