Answer:
D. The volume of square based pyramid is 1280 
Step-by-step explanation:
Given:- A square base pyramid of,
Base edge (b) =16 inches.
Height (h)= 15 inches.
To find:- Volume of the square bases pyramid=?
Solution:-
As the given pyramid is a square based pyramid, therefore the formula to find the volume for square based pyramid is,
Volume of square based pyramid = 
where, b is the base edge and h is the height of the pyramid.
Volume of square based pyramid = 
Volume of square based pyramid = 
Volume of square based pyramid = 
Volume of square based pyramid = 1280
Therefore the volume of square based pyramid is 1280
Answer:.5%
Step-by-step explanation:
Answer:
6 to be four
Step-by-step explanation:
a count by five too eight by 6
Step-by-step explanation:
Remainder when p(x) is divided by (x+2) is -29
Step-by-step explanation:
p(x) = x^{3} - 2x^{2} + 8x + kx3−2x2+8x+k
When p(x) is divided by (x-2), remainder is 19.
p(x - 2 = 0) gives the remainder when p(x) is divided by (x-2)
x - 2 = 0
x = 2
p(x-2=0) = p(2) = 2^{3} - 2(2^{2}) + 8(2) + k23−2(22)+8(2)+k = 19
8 - 8 + 16 + k = 19
k = 3
p(x) = x^{3} - 2x^{2} + 8x + 3x3−2x2+8x+3
p(x + 2 = 0) gives the remainder when p(x) is divided by (x+2)
x + 2 = 0
x = -2
p(x+2=0) = p(-2) = (-2)^{3} - 2((-2)^{2}) + 8(-2) + 3(−2)3−2((−2)2)+8(−2)+3
p(-2) = - 8 - 8 - 16 + 3 = -29
Remainder when p(x) is divided by (x+2) is -29
Answer:
The volume of the hemisphere is approximately 231,623.3 m³
Step-by-step explanation:
The radius of the hemisphere in the question, r = 48 m
A hemisphere is obtained by sharing a sphere into two halves
The radius of the hemisphere = The radius of the sphere which describes it
∴ The volume of a hemisphere = The volume of a sphere ÷ 2
The volume of a sphere = (4/3)·π·r³
∴ The volume of a hemisphere = (4/3)·π·r³ ÷ 2 = (2/3)·π·r³
∴ The volume of the given hemisphere with 48 m radius, V = (2/3) × π × 48³
∴ V = (2/3) × π × (48 m)³ = 231,623.343164 m³
When the measure of the volume of the hemisphere is rounded to the nearest tenth, we have, V ≈ 231,623.3 m³.
