Work out the volume of the solid shape Give your answers in terms of pi please
1 answer:
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
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Answer:
a) (3, 0), (0, -2)
b) see below
Step-by-step explanation:
The x-intercept is found by setting y=0 and solving for x:
2x = 6
x = 6/2 = 3 . . . point (3, 0), x-intercept
The y-intercept is found by setting x=0 and solving for y:
-3y = 6
y = 6/-3 = -2 . . . point (0, -2), y-intercept
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The graph is the line through these points.
<h2>Given :-</h2>
- Area of Rhombus = Area of Triangle
- Base and Height of Triangle is 24.8 cm and 5.5 cm respectively .
- Length of one diagonal of the rhombus is 22 cm .
- Length of other Diagonal
As we know that
Area of triangle = ½ × Base × Height
- Area = ½ × 24.8 × 5.5
- Area = 1 × 12.4 × 5.5
- Area = 12.4 × 5.5
- Area = 68.2 cm²
Area of rhombus = ½ × D1 × D2
- 68.2 = ½ × 22 × D2
- 68.2 × 2 = 22 × D2
- 136.4 = 22 × D2
- 136.4/22 = D2
- 6.2 = D2
- D2=6.2