Determine whether the triangles are similar or not, if so, determine if it is by AA-, SSS-, or SAS-.
1 answer:
You might be interested in
*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
Given length of a lap = 5/8 mile.
Number of laps Carin ran = 3 1/2 laps.
3 1/2 can be read as 3 and a half. In improper fractions, it can be written as
(3*2+1)/2 = 7/2 laps.
In order to find the total distance covered in 3 1/2 or 7/2 laps, we need to multiply length of a lap by total number of laps ran.
Therefore, total distance covered = 7/2 × 5/8.
=
Multiplying across, we get
=
=
Let us convert 35/16 into mixed fractions.
On dividing 35 by 16, we get 2 quotient and 3 remainder.
So, the mixed fraction would be 2 3/16.
Therefore, she ran 2 3/16 miles in 3 1/2 laps.