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adelina 88 [10]
2 years ago
8

27 solid iron spheres,each of radius x cm are melted to form a sphere with radius y cm ,find the ratio of x:y

Mathematics
1 answer:
madam [21]2 years ago
7 0

Radius of 1 solid iron sphere =r

→ Volume =34πr3

→ Volume of 27 solid iron

spheres =27x34πr3

→ 34πr'3=27x34πr3

r'3=2πr3

→r'=3r

(ii) Surface area =4+πr2

SA r'=4πr'2

=4π(3r)2=36πr2

S'S=36πr24πr2=91=1:9

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2 years ago
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Lina20 [59]
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2 years ago
Can someone help me and not be a troll.... I’ll reward points + brainalist
babymother [125]

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4 0
2 years ago
manuel deposits $10000 for 12 yr in an account paying 4% compounded annually.He then puts this total amount on deposit in anothe
Naddik [55]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &12
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.04}{1}\right)^{1\cdot 12}\implies A=1000(1.04)^{12}\\\\\\ A\approx 16010.32

he then turns around and grabs that money and sticks it for another 9 years,

\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}
\\\\\\
A\approx 24970.64

add both amounts, and that's how much is for the whole 21 years.
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