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
You might be interested in
Answer:
The difference between the pulse rate of 36 beats per minute and the mean pulse rate for females is 42 beats per minute.
Step-by-step explanation:
We are given that for a data set of the pulse rates of adult females, the lowest pulse rate is 36 beats per minute, the mean of the listed pulse rate is x = 78.0 beats per minute, and their standard deviation is s = 13.7 beats per minute.
The mean pulse rate for females = = 78.0 beats per minute
The standard deviation of the listed pulse rate = s = 13.7 beats per minute
The given pulse rate is = 36 beats per minute
So, the difference between the pulse rate of 36 beats per minute and the mean pulse rate for females is given by;
= - 36
= 78 - 36 = 42 beats per minute
Hence, the required difference is 42 beats per minute.
Answer:
The sum is even :p
Step-by-step explanation:
=3240
3240 is even so the parity of the sum of 80 consecutive natural numbers is even!