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2 years ago

Someone please help me answer this!!

Mathematics

2 answers:

Ivahew [28]2 years ago

7 0

Answer:

8 mm

Step-by-step explanation:

Answer attached....

Hope it helps :)

Murljashka [212]2 years ago

6 0

Answer:

a = 8mm is the answer

Step-by-step explanation:

a = ?

b = 6mm

c = 10mm

By using the Pythagoras theorem,

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = 8

∴ a = 8mm is the length of the missing leg

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The medicine capsule shown consist of a cylinder with a hemisphere at each end. The total length of the capsule is 15 millimeter

sweet [91]

Answer:

The surface area of capsule is 235.5 mm².

Step-by-step explanation:

Given that,

Diameter = 5 mm

Total length = 15 mm

We need to calculate the radius of each hemisphere

Using formula of radius of hemisphere

$\text{radius of each hemisphere}=\text{radius of cylinder}$

$r=\dfrac{5}{2}$

$r=2.5\ mm$

We need to calculate the length of cylinder

Using formula of length

Length of cylinder = Total length of capsule-radius of left hemisphere- radius of right hemisphere

$\text{length of cylinder}=15-2.5-2.5$

$\text{length of cylinder}=10\ mm$

We need to calculate the surface area of capsule

Using formula of surface area of capsule

$\text{surface area of capsule}=\text{Curved surface area of cylinder}+\text{surface area of left hemisphere}+\text{surface area of right hemisphere}$

$\text{surface area of capsule}=2\pi rl+2\pi r^2+2\pi r^2$

$\text{surface area of capsule}=2\pi rl+4\pi r^2$

Put the value into the formula

$\text{surface area of capsule}=2\times3.14\times2.5\times10+4\times3.14\times(2.5)^2$

$\text{surface area of capsule}=235.5\ mm^2$

Hence, The surface area of capsule is 235.5 mm².

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3 years ago