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4 years ago

This is due tmr and i don't know this so pls help thx !!

Mathematics

1 answer:

dangina [55]4 years ago

5 0

d=rt

300=r4.5

divide both sides by 4.5

66 and 2/3=r

the rate is 66 and 2/3mph

p=2(l+w)

90=2(20+w)

divide both sides by 2

45=20+w

minus 20 both sides

15=w

width=15in

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3 years ago

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Easy points. this is due tomorrow, the formula is given but im not sure how to solve. help? x

ozzi

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

h = height of cone = 10 cm

r = radius of cone/sphere = ??

Volume of cone = 270 pi cm³

Volume of cone is :

$\qquad \sf \dashrightarrow \:v = 270 \pi$

$\qquad \sf \dashrightarrow \: \dfrac{1}{3} \cancel\pi {r}^{2} h = 270 \cancel\pi$

$\qquad \sf \dashrightarrow \:r {}^{2} \sdot10 = 270 \times 3$

$\qquad \sf \dashrightarrow \: {r}^{2} = 810 \div 10$

$\qquad \sf \dashrightarrow \: { {r}^{2} }^{} = 81$

$\qquad \sf \dashrightarrow \:r = \sqrt{81}$

$\qquad \sf \dashrightarrow \:r = 9 \: \: cm$

Now, let's calculate volume of solid sphere with same radius is ~

$\qquad \sf \dashrightarrow \:vol = \dfrac{4}{3} \pi {r}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot {9}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot 729$

$\qquad \sf \dashrightarrow \:vol = {4} {} \sdot243 \sdot\pi$

$\qquad \sf \dashrightarrow \:vol = 97 2\pi \: \: {cm}^{3}$

So, volume of the solid sphere in terms of pi is :

972 pi cm³

<u>note</u> : the solid figure attached below the cone is a hemisphere, so if the volume of hemisphere is asked then just dovide the result for sphere by 2. that is :

972pi / 2 = 486 pi cm³

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