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Katena32 [7]
4 years ago
7

A paint can holds 2.5 litres =2,500 cm3

Mathematics
2 answers:
PilotLPTM [1.2K]4 years ago
7 0

Answer:7.3cm

Step-by-step explanation:

Volume=2500

π=3.14

volume of cylinder=πxr^2xh

2500=3.14xr^2x15

2500=47.1xr^2

r^2=2500/47.1

r^2=53.8

r=√(53.8)

r=7.3

marin [14]4 years ago
4 0

Answer:

The radius of the can is 7.28 cm .

Step-by-step explanation:

By our general knowledge, a "can" is a cylinder. It is given that the volume of can is 2500 cm³ and the height is 15 cm tall so we have to use the formula of volume of cylinder to find the radius :

v = \pi {r}^{2} h

Let r be radius, v be volume and h be height,

Let v = 2500 cm³,

Let h = 15 cm,

2500 = \pi \times  {r}^{2}  \times 15

\pi \times  {r}^{2}  = 2500 \div 15

\pi \times  {r}^{2}  =  \frac{500}{3}

{r}^{2}  =  \frac{500}{3\pi}

r =  \sqrt{ \frac{500}{3\pi} }

r = 7.28 \: cm \: (3s.f)

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