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CaHeK987 [17]
3 years ago
12

A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

The volume and the curved surface area of the solid formed is 301.71\ \text{cm}^3 and 188.57\ \text{cm}^2 respectively.

Step-by-step explanation:

Given that,

A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm.

As the triangle is revolved at 8 cm it forms a cone of height 8 cm and radius 6cm.

Height, h = 8 cm

Radius, r = 6 cm

The volume of the solid formed is given by :

V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times \dfrac{22}{7}\times 8^2\times 8\\\\=301.71\ \text{cm}^3

The curved surface of the solid formed is :

A=\pi rl

l is slant height

A=\pi r\times \sqrt{h^2+r^2} \\\\A=\dfrac{22}{7}\times 6\times \sqrt{8^2+6^2} \\\\=188.57\ \text{cm}^2

Hence, the volume and the curved surface area of the solid formed is 301.71\ \text{cm}^3 and 188.57\ \text{cm}^2 respectively.

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4 years ago
A midsegment connecting two sides of a triangle is parallel to the third side and equal to which
lys-0071 [83]

Answer:

One half (1/2) the measurement of the third side

Step-by-step explanation:

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3 years ago
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Julio has 5 more dollars than Dan. Altogether, Julio and Dan have $19. Write and solve an equation to represent the situation. H
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Answer:

Dan has $7 and Julio has $12

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