Use formulas to find the lateral area and surface area of the given prism round to nearest whole number
Believe height 4m and base on side 7m, front 29m, other end 7.28m
possible answers;
472m^2;486m^2
443m62;486m^2
472m62;479m^2
443m62;500m^2
Can someone possibly help me
472 m squared , 486 m squared
What is the surface area of a cylinder in terms of pie is 23 in tall and 11 in in radius
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where r is the radius of the base, h is the height, and π (pi) is approximately 3.14.
Substituting the given values:
S = 2π(11)^2 + 2π(11)(23)
S = 2π(121) + 2π(253)
S = 242π + 506π
S = 748π
Rounding to the nearest whole number:
S ≈ 2349 square inches
What is the surface area of a pyramid shown to the nearest whole number is 8 ft tall 3 ft by 3 ft at the base
The formula for the surface area of a pyramid is:
S = 0.5Pl + B
where P is the perimeter of the base, l is the slant height, and B is the area of the base.
To find the perimeter P and area B of the base, we use the given dimensions of the pyramid:
P = 4s = 4(3) = 12 ft
B = s^2 = 3^2 = 9 sq ft
To find the slant height l, we use the Pythagorean theorem:
l^2 = h^2 + (0.5s)^2
l^2 = 8^2 + (0.5(3))^2
l^2 = 64 + 0.75
l ≈ 8.03 ft
Now we can substitute the values into the formula for the surface area:
S = 0.5Pl + B
S = 0.5(12)(8.03) + 9
S = 48.18 + 9
S ≈ 57 square feet
Therefore, the surface area of the pyramid is approximately 57 square feet.
What is the surface area of a conical grain storage tank that has the height of 62 m in a diameter of 24 m
The surface area of a conical frustum (the portion of a cone that remains after the top is cut off) can be calculated using the following formula:
S = πr1^2 + πr2^2 + πr1l1 + πr2l2
where r1 and r2 are the radii of the bottom and top bases, l1 and l2 are the slant heights of the frustum, and π (pi) is approximately 3.14.
In this case, we have a full cone rather than a frustum. The radius of the base is half of the diameter, so r = 12 meters. The slant height of the cone can be found using the Pythagorean theorem:
l = sqrt(h^2 + r^2) = sqrt(62^2 + 12^2) ≈ 63.23 meters
Now we can use the formula for the surface area of a complete cone:
S = πr^2 + πrl
S = π(12)^2 + π(12)(63.23)
S = 144π + 753.66π
S = 897.66π
Rounding to the nearest whole number, we get:
S ≈ 2820 square meters
Therefore, the surface area of the conical grain storage tank is approximately 2820 square meters.
What is the volume of a oblique cone the base is 21 in the height is 30 in
The formula to calculate the volume of an oblique cone is:
V = (1/3)πr^2h,
where r is the radius of the circular base and h is the height of the cone.
However, in an oblique cone, the height and the slant height are different. In order to find the radius of the circular base, we need to follow these steps:
1. Draw an altitude from the vertex to the base.
2. Find the length of the altitude (let's call it a): a^2 = h^2 + r^2
3. Find the angle between the altitude and the base (let's call it θ).
4. Find the radius of the base (r): r = a tan(θ)
Without the angle θ, we cannot find the radius of the base. It is possible to have multiple oblique cones with different angles and the same base and height, but different volumes.
Therefore, the volume of the oblique cone cannot be determined without additional information.
The volume of a sphere is 2,254 pi m what is the surface area of the sphere
The formula for the volume of a sphere is:
V = (4/3)πr^3
where r is the radius of the sphere.
In this case, we can use the given volume of the sphere to find the radius:
2,254π = (4/3)πr^3
Dividing both sides by (4/3)π, we get:
r^3 = 1,691.5
Taking the cube root of both sides, we get:
r ≈ 12.12 meters
Now we can use the formula for the surface area of a sphere:
A = 4πr^2
Substituting the value of r, we get:
A = 4π(12.12)^2
A ≈ 1,847.9 square meters
Therefore, the surface area of the sphere is approximately 1,847.9 square meters.
What is a scale factor of a cube with a volume of 512m 3
with the volume of 3,375 m3
The scale factor is the factor by which all the dimensions of a shape are multiplied to obtain an enlarged or reduced copy of the original shape. In this case, we can find the scale factor by comparing the volumes of two cubes:
scale factor = (new volume)/(old volume)^(1/3)
Substituting the given volumes:
scale factor = (3,375 m^3)/(512 m^3)^(1/3)
scale factor = (3,375 m^3)/(8 m^3)
scale factor = 421.875
Therefore, the scale factor to enlarge the cube from a volume of 512 m^3 to a volume of 3,375 m^3 is approximately 421.875.
What is the equation of a circle with the center -6, 7 that passes through 4 -2
The equation of a circle with center (h, k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2
In this case, the center is (-6, 7), so h = -6 and k = 7. We also know that the circle passes through the point (4, -2). We can use this information to find the radius r:
r = distance between (-6, 7) and (4, -2)
r = sqrt((4 - (-6))^2 + (-2 - 7)^2)
r = sqrt(100 + 81)
r = sqrt(181)
So the equation of the circle is:
(x - (-6))^2 + (y - 7)^2 = (sqrt(181))^2
(x + 6)^2 + (y - 7)^2 = 181
Therefore, the equation of the circle is (x + 6)^2 + (y - 7)^2 = 181.